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Finding the Fourth Proportional to 102,048.09, 153,069.31 and 27,168.88

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Solution

The fourth proportional to 102,048.09, 153,069.31 and 27,168.88 is: 40,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,048.09 : 153,069.31 = 27,168.88 : x
  2. Step 2: Convert to fraction form
    102,048.09/153,069.31 = 27,168.88/x
  3. Step 3: Cross multiply
    102,048.09x = 153,069.31 × 27,168.88
  4. Step 4: Simplify right side
    102,048.09x = 4,158,721,715.07
  5. Step 5: Solve for x
    x = 4,158,721,715.07/102,048.09
  6. Step 6: Final answer
    x = 40,752.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.