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Finding the Fourth Proportional to 93,731.80, 140,597.70 and 31,402.30

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Solution

The fourth proportional to 93,731.80, 140,597.70 and 31,402.30 is: 47,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,731.80 : 140,597.70 = 31,402.30 : x
  2. Step 2: Convert to fraction form
    93,731.80/140,597.70 = 31,402.30/x
  3. Step 3: Cross multiply
    93,731.80x = 140,597.70 × 31,402.30
  4. Step 4: Simplify right side
    93,731.80x = 4,415,091,154.71
  5. Step 5: Solve for x
    x = 4,415,091,154.71/93,731.80
  6. Step 6: Final answer
    x = 47,103.45

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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.