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Finding the Fourth Proportional to 32,292.24, 48,472.28 and 28,618

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Solution

The fourth proportional to 32,292.24, 48,472.28 and 28,618 is: 42,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292.24 : 48,472.28 = 28,618 : x
  2. Step 2: Convert to fraction form
    32,292.24/48,472.28 = 28,618/x
  3. Step 3: Cross multiply
    32,292.24x = 48,472.28 × 28,618
  4. Step 4: Simplify right side
    32,292.24x = 1,387,179,709.04
  5. Step 5: Solve for x
    x = 1,387,179,709.04/32,292.24
  6. Step 6: Final answer
    x = 42,957.06

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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.