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Finding the Fourth Proportional to 34,061.40, 51,071.02 and 14,329.80

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Solution

The fourth proportional to 34,061.40, 51,071.02 and 14,329.80 is: 21,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,061.40 : 51,071.02 = 14,329.80 : x
  2. Step 2: Convert to fraction form
    34,061.40/51,071.02 = 14,329.80/x
  3. Step 3: Cross multiply
    34,061.40x = 51,071.02 × 14,329.80
  4. Step 4: Simplify right side
    34,061.40x = 731,837,502.40
  5. Step 5: Solve for x
    x = 731,837,502.40/34,061.40
  6. Step 6: Final answer
    x = 21,485.83

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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.