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Finding the Fourth Proportional to 32,196.29, 48,275.60 and 14,656.55

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Solution

The fourth proportional to 32,196.29, 48,275.60 and 14,656.55 is: 21,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.29 : 48,275.60 = 14,656.55 : x
  2. Step 2: Convert to fraction form
    32,196.29/48,275.60 = 14,656.55/x
  3. Step 3: Cross multiply
    32,196.29x = 48,275.60 × 14,656.55
  4. Step 4: Simplify right side
    32,196.29x = 707,553,430.52
  5. Step 5: Solve for x
    x = 707,553,430.52/32,196.29
  6. Step 6: Final answer
    x = 21,976.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.