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Finding the Fourth Proportional to 71,547.64, 107,325.40 and 21,626.47

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Solution

The fourth proportional to 71,547.64, 107,325.40 and 21,626.47 is: 32,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547.64 : 107,325.40 = 21,626.47 : x
  2. Step 2: Convert to fraction form
    71,547.64/107,325.40 = 21,626.47/x
  3. Step 3: Cross multiply
    71,547.64x = 107,325.40 × 21,626.47
  4. Step 4: Simplify right side
    71,547.64x = 2,321,069,543.34
  5. Step 5: Solve for x
    x = 2,321,069,543.34/71,547.64
  6. Step 6: Final answer
    x = 32,440.90

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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.