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Finding the Fourth Proportional to 32,972.24, 45,501.71 and 17,865

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Solution

The fourth proportional to 32,972.24, 45,501.71 and 17,865 is: 24,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.24 : 45,501.71 = 17,865 : x
  2. Step 2: Convert to fraction form
    32,972.24/45,501.71 = 17,865/x
  3. Step 3: Cross multiply
    32,972.24x = 45,501.71 × 17,865
  4. Step 4: Simplify right side
    32,972.24x = 812,887,959.83
  5. Step 5: Solve for x
    x = 812,887,959.83/32,972.24
  6. Step 6: Final answer
    x = 24,653.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.