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Finding the Fourth Proportional to 52,201.65, 72,098.10 and 34,376.34

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Solution

The fourth proportional to 52,201.65, 72,098.10 and 34,376.34 is: 47,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.65 : 72,098.10 = 34,376.34 : x
  2. Step 2: Convert to fraction form
    52,201.65/72,098.10 = 34,376.34/x
  3. Step 3: Cross multiply
    52,201.65x = 72,098.10 × 34,376.34
  4. Step 4: Simplify right side
    52,201.65x = 2,478,468,798.95
  5. Step 5: Solve for x
    x = 2,478,468,798.95/52,201.65
  6. Step 6: Final answer
    x = 47,478.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.