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Finding the Fourth Proportional to 32,159.40, 48,221.76 and 9,963.24

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Solution

The fourth proportional to 32,159.40, 48,221.76 and 9,963.24 is: 14,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.40 : 48,221.76 = 9,963.24 : x
  2. Step 2: Convert to fraction form
    32,159.40/48,221.76 = 9,963.24/x
  3. Step 3: Cross multiply
    32,159.40x = 48,221.76 × 9,963.24
  4. Step 4: Simplify right side
    32,159.40x = 480,444,968.10
  5. Step 5: Solve for x
    x = 480,444,968.10/32,159.40
  6. Step 6: Final answer
    x = 14,939.49

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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.