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Finding the Fourth Proportional to 96,748.30, 145,066.58 and 37,514.77

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Solution

The fourth proportional to 96,748.30, 145,066.58 and 37,514.77 is: 56,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,748.30 : 145,066.58 = 37,514.77 : x
  2. Step 2: Convert to fraction form
    96,748.30/145,066.58 = 37,514.77/x
  3. Step 3: Cross multiply
    96,748.30x = 145,066.58 × 37,514.77
  4. Step 4: Simplify right side
    96,748.30x = 5,442,139,517.83
  5. Step 5: Solve for x
    x = 5,442,139,517.83/96,748.30
  6. Step 6: Final answer
    x = 56,250.49

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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.