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Finding the Fourth Proportional to 72,047.68, 108,061.44 and 19,461.76

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Solution

The fourth proportional to 72,047.68, 108,061.44 and 19,461.76 is: 29,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,047.68 : 108,061.44 = 19,461.76 : x
  2. Step 2: Convert to fraction form
    72,047.68/108,061.44 = 19,461.76/x
  3. Step 3: Cross multiply
    72,047.68x = 108,061.44 × 19,461.76
  4. Step 4: Simplify right side
    72,047.68x = 2,103,065,810.53
  5. Step 5: Solve for x
    x = 2,103,065,810.53/72,047.68
  6. Step 6: Final answer
    x = 29,189.92

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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.