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Finding the Fourth Proportional to 102,929, 142,042.02 and 55,825

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Solution

The fourth proportional to 102,929, 142,042.02 and 55,825 is: 77,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,929 : 142,042.02 = 55,825 : x
  2. Step 2: Convert to fraction form
    102,929/142,042.02 = 55,825/x
  3. Step 3: Cross multiply
    102,929x = 142,042.02 × 55,825
  4. Step 4: Simplify right side
    102,929x = 7,929,495,766.50
  5. Step 5: Solve for x
    x = 7,929,495,766.50/102,929
  6. Step 6: Final answer
    x = 77,038.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.