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Finding the Fourth Proportional to 23,624.32, 35,251.40 and 21,142.08

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Solution

The fourth proportional to 23,624.32, 35,251.40 and 21,142.08 is: 31,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.32 : 35,251.40 = 21,142.08 : x
  2. Step 2: Convert to fraction form
    23,624.32/35,251.40 = 21,142.08/x
  3. Step 3: Cross multiply
    23,624.32x = 35,251.40 × 21,142.08
  4. Step 4: Simplify right side
    23,624.32x = 745,287,918.91
  5. Step 5: Solve for x
    x = 745,287,918.91/23,624.32
  6. Step 6: Final answer
    x = 31,547.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.