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Finding the Fourth Proportional to 38,545.16, 53,192.40 and 21,778.16

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Solution

The fourth proportional to 38,545.16, 53,192.40 and 21,778.16 is: 30,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.16 : 53,192.40 = 21,778.16 : x
  2. Step 2: Convert to fraction form
    38,545.16/53,192.40 = 21,778.16/x
  3. Step 3: Cross multiply
    38,545.16x = 53,192.40 × 21,778.16
  4. Step 4: Simplify right side
    38,545.16x = 1,158,432,597.98
  5. Step 5: Solve for x
    x = 1,158,432,597.98/38,545.16
  6. Step 6: Final answer
    x = 30,053.91

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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.