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Finding the Fourth Proportional to 32,657.28, 48,986.32 and 9,283.68

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Solution

The fourth proportional to 32,657.28, 48,986.32 and 9,283.68 is: 13,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.28 : 48,986.32 = 9,283.68 : x
  2. Step 2: Convert to fraction form
    32,657.28/48,986.32 = 9,283.68/x
  3. Step 3: Cross multiply
    32,657.28x = 48,986.32 × 9,283.68
  4. Step 4: Simplify right side
    32,657.28x = 454,773,319.26
  5. Step 5: Solve for x
    x = 454,773,319.26/32,657.28
  6. Step 6: Final answer
    x = 13,925.63

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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.