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Finding the Fourth Proportional to 29,430.10, 44,146.51 and 9,710.38

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Solution

The fourth proportional to 29,430.10, 44,146.51 and 9,710.38 is: 14,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430.10 : 44,146.51 = 9,710.38 : x
  2. Step 2: Convert to fraction form
    29,430.10/44,146.51 = 9,710.38/x
  3. Step 3: Cross multiply
    29,430.10x = 44,146.51 × 9,710.38
  4. Step 4: Simplify right side
    29,430.10x = 428,679,387.77
  5. Step 5: Solve for x
    x = 428,679,387.77/29,430.10
  6. Step 6: Final answer
    x = 14,566.02

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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.