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Finding the Fourth Proportional to 66,748, 100,044.24 and 37,151.68

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Solution

The fourth proportional to 66,748, 100,044.24 and 37,151.68 is: 55,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,748 : 100,044.24 = 37,151.68 : x
  2. Step 2: Convert to fraction form
    66,748/100,044.24 = 37,151.68/x
  3. Step 3: Cross multiply
    66,748x = 100,044.24 × 37,151.68
  4. Step 4: Simplify right side
    66,748x = 3,716,811,590.32
  5. Step 5: Solve for x
    x = 3,716,811,590.32/66,748
  6. Step 6: Final answer
    x = 55,684.24

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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.