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Finding the Fourth Proportional to 102,069.02, 153,080.49 and 36,405.02

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Solution

The fourth proportional to 102,069.02, 153,080.49 and 36,405.02 is: 54,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,069.02 : 153,080.49 = 36,405.02 : x
  2. Step 2: Convert to fraction form
    102,069.02/153,080.49 = 36,405.02/x
  3. Step 3: Cross multiply
    102,069.02x = 153,080.49 × 36,405.02
  4. Step 4: Simplify right side
    102,069.02x = 5,572,898,300.06
  5. Step 5: Solve for x
    x = 5,572,898,300.06/102,069.02
  6. Step 6: Final answer
    x = 54,599.31

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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.