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Finding the Fourth Proportional to 51,697.50, 77,543.62 and 14,257.92

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Solution

The fourth proportional to 51,697.50, 77,543.62 and 14,257.92 is: 21,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,697.50 : 77,543.62 = 14,257.92 : x
  2. Step 2: Convert to fraction form
    51,697.50/77,543.62 = 14,257.92/x
  3. Step 3: Cross multiply
    51,697.50x = 77,543.62 × 14,257.92
  4. Step 4: Simplify right side
    51,697.50x = 1,105,610,730.47
  5. Step 5: Solve for x
    x = 1,105,610,730.47/51,697.50
  6. Step 6: Final answer
    x = 21,386.15

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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.