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Finding the Fourth Proportional to 93,840.76, 140,761.14 and 31,555

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Solution

The fourth proportional to 93,840.76, 140,761.14 and 31,555 is: 47,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,840.76 : 140,761.14 = 31,555 : x
  2. Step 2: Convert to fraction form
    93,840.76/140,761.14 = 31,555/x
  3. Step 3: Cross multiply
    93,840.76x = 140,761.14 × 31,555
  4. Step 4: Simplify right side
    93,840.76x = 4,441,717,772.70
  5. Step 5: Solve for x
    x = 4,441,717,772.70/93,840.76
  6. Step 6: Final answer
    x = 47,332.50

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1.5x scale

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.