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Finding the Fourth Proportional to 93,873.18, 140,807.34 and 31,543.68

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Solution

The fourth proportional to 93,873.18, 140,807.34 and 31,543.68 is: 47,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,873.18 : 140,807.34 = 31,543.68 : x
  2. Step 2: Convert to fraction form
    93,873.18/140,807.34 = 31,543.68/x
  3. Step 3: Cross multiply
    93,873.18x = 140,807.34 × 31,543.68
  4. Step 4: Simplify right side
    93,873.18x = 4,441,581,674.61
  5. Step 5: Solve for x
    x = 4,441,581,674.61/93,873.18
  6. Step 6: Final answer
    x = 47,314.70

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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.