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Finding the Fourth Proportional to 56,653.60, 84,981.84 and 31,679.68

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Solution

The fourth proportional to 56,653.60, 84,981.84 and 31,679.68 is: 47,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,653.60 : 84,981.84 = 31,679.68 : x
  2. Step 2: Convert to fraction form
    56,653.60/84,981.84 = 31,679.68/x
  3. Step 3: Cross multiply
    56,653.60x = 84,981.84 × 31,679.68
  4. Step 4: Simplify right side
    56,653.60x = 2,692,197,497.01
  5. Step 5: Solve for x
    x = 2,692,197,497.01/56,653.60
  6. Step 6: Final answer
    x = 47,520.33

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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.