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Finding the Fourth Proportional to 37,098, 55,663.20 and 13,718.16

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Solution

The fourth proportional to 37,098, 55,663.20 and 13,718.16 is: 20,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 55,663.20 = 13,718.16 : x
  2. Step 2: Convert to fraction form
    37,098/55,663.20 = 13,718.16/x
  3. Step 3: Cross multiply
    37,098x = 55,663.20 × 13,718.16
  4. Step 4: Simplify right side
    37,098x = 763,596,683.71
  5. Step 5: Solve for x
    x = 763,596,683.71/37,098
  6. Step 6: Final answer
    x = 20,583.23

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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.