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Finding the Fourth Proportional to 32,646.88, 48,970.32 and 15,112

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Solution

The fourth proportional to 32,646.88, 48,970.32 and 15,112 is: 22,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.88 : 48,970.32 = 15,112 : x
  2. Step 2: Convert to fraction form
    32,646.88/48,970.32 = 15,112/x
  3. Step 3: Cross multiply
    32,646.88x = 48,970.32 × 15,112
  4. Step 4: Simplify right side
    32,646.88x = 740,039,475.84
  5. Step 5: Solve for x
    x = 740,039,475.84/32,646.88
  6. Step 6: Final answer
    x = 22,668

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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.