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Finding the Fourth Proportional to 52,169.29, 78,252.54 and 14,731.93

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Solution

The fourth proportional to 52,169.29, 78,252.54 and 14,731.93 is: 22,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,169.29 : 78,252.54 = 14,731.93 : x
  2. Step 2: Convert to fraction form
    52,169.29/78,252.54 = 14,731.93/x
  3. Step 3: Cross multiply
    52,169.29x = 78,252.54 × 14,731.93
  4. Step 4: Simplify right side
    52,169.29x = 1,152,810,941.60
  5. Step 5: Solve for x
    x = 1,152,810,941.60/52,169.29
  6. Step 6: Final answer
    x = 22,097.50

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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.