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Finding the Fourth Proportional to 32,167.19, 48,248.47 and 9,980

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Solution

The fourth proportional to 32,167.19, 48,248.47 and 9,980 is: 14,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.19 : 48,248.47 = 9,980 : x
  2. Step 2: Convert to fraction form
    32,167.19/48,248.47 = 9,980/x
  3. Step 3: Cross multiply
    32,167.19x = 48,248.47 × 9,980
  4. Step 4: Simplify right side
    32,167.19x = 481,519,730.60
  5. Step 5: Solve for x
    x = 481,519,730.60/32,167.19
  6. Step 6: Final answer
    x = 14,969.28

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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.