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Finding the Fourth Proportional to 32,159.34, 48,243.68 and 9,974.50

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Solution

The fourth proportional to 32,159.34, 48,243.68 and 9,974.50 is: 14,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.34 : 48,243.68 = 9,974.50 : x
  2. Step 2: Convert to fraction form
    32,159.34/48,243.68 = 9,974.50/x
  3. Step 3: Cross multiply
    32,159.34x = 48,243.68 × 9,974.50
  4. Step 4: Simplify right side
    32,159.34x = 481,206,560.71
  5. Step 5: Solve for x
    x = 481,206,560.71/32,159.34
  6. Step 6: Final answer
    x = 14,963.20

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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.