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Finding the Fourth Proportional to 72,071.64, 108,071.16 and 24,023.23

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Solution

The fourth proportional to 72,071.64, 108,071.16 and 24,023.23 is: 36,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,071.64 : 108,071.16 = 24,023.23 : x
  2. Step 2: Convert to fraction form
    72,071.64/108,071.16 = 24,023.23/x
  3. Step 3: Cross multiply
    72,071.64x = 108,071.16 × 24,023.23
  4. Step 4: Simplify right side
    72,071.64x = 2,596,218,062.87
  5. Step 5: Solve for x
    x = 2,596,218,062.87/72,071.64
  6. Step 6: Final answer
    x = 36,022.74

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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.