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Finding the Fourth Proportional to 72,454.10, 108,681.90 and 19,863.58

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Solution

The fourth proportional to 72,454.10, 108,681.90 and 19,863.58 is: 29,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.10 : 108,681.90 = 19,863.58 : x
  2. Step 2: Convert to fraction form
    72,454.10/108,681.90 = 19,863.58/x
  3. Step 3: Cross multiply
    72,454.10x = 108,681.90 × 19,863.58
  4. Step 4: Simplify right side
    72,454.10x = 2,158,811,615.20
  5. Step 5: Solve for x
    x = 2,158,811,615.20/72,454.10
  6. Step 6: Final answer
    x = 29,795.58

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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.