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Finding the Fourth Proportional to 102,452.66, 153,678.98 and 27,572.97

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Solution

The fourth proportional to 102,452.66, 153,678.98 and 27,572.97 is: 41,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,452.66 : 153,678.98 = 27,572.97 : x
  2. Step 2: Convert to fraction form
    102,452.66/153,678.98 = 27,572.97/x
  3. Step 3: Cross multiply
    102,452.66x = 153,678.98 × 27,572.97
  4. Step 4: Simplify right side
    102,452.66x = 4,237,385,767.31
  5. Step 5: Solve for x
    x = 4,237,385,767.31/102,452.66
  6. Step 6: Final answer
    x = 41,359.45

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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.