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Finding the Fourth Proportional to 37,098, 55,653.98 and 14,913.14

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Solution

The fourth proportional to 37,098, 55,653.98 and 14,913.14 is: 22,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 55,653.98 = 14,913.14 : x
  2. Step 2: Convert to fraction form
    37,098/55,653.98 = 14,913.14/x
  3. Step 3: Cross multiply
    37,098x = 55,653.98 × 14,913.14
  4. Step 4: Simplify right side
    37,098x = 829,975,242.46
  5. Step 5: Solve for x
    x = 829,975,242.46/37,098
  6. Step 6: Final answer
    x = 22,372.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.