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Finding the Fourth Proportional to 34,922.29, 52,385.16 and 9,966.02

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Solution

The fourth proportional to 34,922.29, 52,385.16 and 9,966.02 is: 14,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,922.29 : 52,385.16 = 9,966.02 : x
  2. Step 2: Convert to fraction form
    34,922.29/52,385.16 = 9,966.02/x
  3. Step 3: Cross multiply
    34,922.29x = 52,385.16 × 9,966.02
  4. Step 4: Simplify right side
    34,922.29x = 522,071,290.34
  5. Step 5: Solve for x
    x = 522,071,290.34/34,922.29
  6. Step 6: Final answer
    x = 14,949.52

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