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Finding the Fourth Proportional to 32,290.64, 48,438 and 8,597.79

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Solution

The fourth proportional to 32,290.64, 48,438 and 8,597.79 is: 12,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.64 : 48,438 = 8,597.79 : x
  2. Step 2: Convert to fraction form
    32,290.64/48,438 = 8,597.79/x
  3. Step 3: Cross multiply
    32,290.64x = 48,438 × 8,597.79
  4. Step 4: Simplify right side
    32,290.64x = 416,459,752.02
  5. Step 5: Solve for x
    x = 416,459,752.02/32,290.64
  6. Step 6: Final answer
    x = 12,897.23

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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.