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Finding the Fourth Proportional to 96,677.91, 145,023.79 and 40,461.42

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Solution

The fourth proportional to 96,677.91, 145,023.79 and 40,461.42 is: 60,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,677.91 : 145,023.79 = 40,461.42 : x
  2. Step 2: Convert to fraction form
    96,677.91/145,023.79 = 40,461.42/x
  3. Step 3: Cross multiply
    96,677.91x = 145,023.79 × 40,461.42
  4. Step 4: Simplify right side
    96,677.91x = 5,867,868,477.18
  5. Step 5: Solve for x
    x = 5,867,868,477.18/96,677.91
  6. Step 6: Final answer
    x = 60,695.03

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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.