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Finding the Fourth Proportional to 37,397.70, 56,071.44 and 17,658

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Solution

The fourth proportional to 37,397.70, 56,071.44 and 17,658 is: 26,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,397.70 : 56,071.44 = 17,658 : x
  2. Step 2: Convert to fraction form
    37,397.70/56,071.44 = 17,658/x
  3. Step 3: Cross multiply
    37,397.70x = 56,071.44 × 17,658
  4. Step 4: Simplify right side
    37,397.70x = 990,109,487.52
  5. Step 5: Solve for x
    x = 990,109,487.52/37,397.70
  6. Step 6: Final answer
    x = 26,475.14

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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.