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Finding the Fourth Proportional to 98,472.64, 147,602.85 and 47,764.30

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Solution

The fourth proportional to 98,472.64, 147,602.85 and 47,764.30 is: 71,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472.64 : 147,602.85 = 47,764.30 : x
  2. Step 2: Convert to fraction form
    98,472.64/147,602.85 = 47,764.30/x
  3. Step 3: Cross multiply
    98,472.64x = 147,602.85 × 47,764.30
  4. Step 4: Simplify right side
    98,472.64x = 7,050,146,808.26
  5. Step 5: Solve for x
    x = 7,050,146,808.26/98,472.64
  6. Step 6: Final answer
    x = 71,594.98

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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.