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Finding the Fourth Proportional to 97,648.86, 134,765.46 and 59,411.16

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Solution

The fourth proportional to 97,648.86, 134,765.46 and 59,411.16 is: 81,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.86 : 134,765.46 = 59,411.16 : x
  2. Step 2: Convert to fraction form
    97,648.86/134,765.46 = 59,411.16/x
  3. Step 3: Cross multiply
    97,648.86x = 134,765.46 × 59,411.16
  4. Step 4: Simplify right side
    97,648.86x = 8,006,572,306.53
  5. Step 5: Solve for x
    x = 8,006,572,306.53/97,648.86
  6. Step 6: Final answer
    x = 81,993.51

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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.