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Finding the Fourth Proportional to 142,937.40, 214,416.42 and 37,755

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Solution

The fourth proportional to 142,937.40, 214,416.42 and 37,755 is: 56,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,937.40 : 214,416.42 = 37,755 : x
  2. Step 2: Convert to fraction form
    142,937.40/214,416.42 = 37,755/x
  3. Step 3: Cross multiply
    142,937.40x = 214,416.42 × 37,755
  4. Step 4: Simplify right side
    142,937.40x = 8,095,291,937.10
  5. Step 5: Solve for x
    x = 8,095,291,937.10/142,937.40
  6. Step 6: Final answer
    x = 56,635.23

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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.