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Finding the Fourth Proportional to 47,152.80, 64,957.20 and 32,983.20

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Solution

The fourth proportional to 47,152.80, 64,957.20 and 32,983.20 is: 45,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.80 : 64,957.20 = 32,983.20 : x
  2. Step 2: Convert to fraction form
    47,152.80/64,957.20 = 32,983.20/x
  3. Step 3: Cross multiply
    47,152.80x = 64,957.20 × 32,983.20
  4. Step 4: Simplify right side
    47,152.80x = 2,142,496,319.04
  5. Step 5: Solve for x
    x = 2,142,496,319.04/47,152.80
  6. Step 6: Final answer
    x = 45,437.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.