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Finding the Fourth Proportional to 34,001.84, 51,002.70 and 9,041.90

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Solution

The fourth proportional to 34,001.84, 51,002.70 and 9,041.90 is: 13,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001.84 : 51,002.70 = 9,041.90 : x
  2. Step 2: Convert to fraction form
    34,001.84/51,002.70 = 9,041.90/x
  3. Step 3: Cross multiply
    34,001.84x = 51,002.70 × 9,041.90
  4. Step 4: Simplify right side
    34,001.84x = 461,161,024.21
  5. Step 5: Solve for x
    x = 461,161,024.21/34,001.84
  6. Step 6: Final answer
    x = 13,562.82

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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.