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Finding the Fourth Proportional to 65,762.60, 90,714.66 and 37,463

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Solution

The fourth proportional to 65,762.60, 90,714.66 and 37,463 is: 51,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,762.60 : 90,714.66 = 37,463 : x
  2. Step 2: Convert to fraction form
    65,762.60/90,714.66 = 37,463/x
  3. Step 3: Cross multiply
    65,762.60x = 90,714.66 × 37,463
  4. Step 4: Simplify right side
    65,762.60x = 3,398,443,307.58
  5. Step 5: Solve for x
    x = 3,398,443,307.58/65,762.60
  6. Step 6: Final answer
    x = 51,677.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.