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Finding the Fourth Proportional to 59,884.32, 89,658.60 and 31,740.72

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Solution

The fourth proportional to 59,884.32, 89,658.60 and 31,740.72 is: 47,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,884.32 : 89,658.60 = 31,740.72 : x
  2. Step 2: Convert to fraction form
    59,884.32/89,658.60 = 31,740.72/x
  3. Step 3: Cross multiply
    59,884.32x = 89,658.60 × 31,740.72
  4. Step 4: Simplify right side
    59,884.32x = 2,845,828,518.19
  5. Step 5: Solve for x
    x = 2,845,828,518.19/59,884.32
  6. Step 6: Final answer
    x = 47,522.10

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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.