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Finding the Fourth Proportional to 59,197.44, 88,693.76 and 31,411.20

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Solution

The fourth proportional to 59,197.44, 88,693.76 and 31,411.20 is: 47,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,197.44 : 88,693.76 = 31,411.20 : x
  2. Step 2: Convert to fraction form
    59,197.44/88,693.76 = 31,411.20/x
  3. Step 3: Cross multiply
    59,197.44x = 88,693.76 × 31,411.20
  4. Step 4: Simplify right side
    59,197.44x = 2,785,977,434.11
  5. Step 5: Solve for x
    x = 2,785,977,434.11/59,197.44
  6. Step 6: Final answer
    x = 47,062.46

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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.