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Finding the Fourth Proportional to 32,648.88, 48,973.32 and 15,114

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Solution

The fourth proportional to 32,648.88, 48,973.32 and 15,114 is: 22,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.88 : 48,973.32 = 15,114 : x
  2. Step 2: Convert to fraction form
    32,648.88/48,973.32 = 15,114/x
  3. Step 3: Cross multiply
    32,648.88x = 48,973.32 × 15,114
  4. Step 4: Simplify right side
    32,648.88x = 740,182,758.48
  5. Step 5: Solve for x
    x = 740,182,758.48/32,648.88
  6. Step 6: Final answer
    x = 22,671

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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.