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Finding the Fourth Proportional to 102,044.64, 153,068.49 and 38,868.24

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Solution

The fourth proportional to 102,044.64, 153,068.49 and 38,868.24 is: 58,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.64 : 153,068.49 = 38,868.24 : x
  2. Step 2: Convert to fraction form
    102,044.64/153,068.49 = 38,868.24/x
  3. Step 3: Cross multiply
    102,044.64x = 153,068.49 × 38,868.24
  4. Step 4: Simplify right side
    102,044.64x = 5,949,502,805.76
  5. Step 5: Solve for x
    x = 5,949,502,805.76/102,044.64
  6. Step 6: Final answer
    x = 58,302.94

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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.