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Finding the Fourth Proportional to 72,038.84, 99,405.24 and 40,206.66

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Solution

The fourth proportional to 72,038.84, 99,405.24 and 40,206.66 is: 55,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038.84 : 99,405.24 = 40,206.66 : x
  2. Step 2: Convert to fraction form
    72,038.84/99,405.24 = 40,206.66/x
  3. Step 3: Cross multiply
    72,038.84x = 99,405.24 × 40,206.66
  4. Step 4: Simplify right side
    72,038.84x = 3,996,752,686.90
  5. Step 5: Solve for x
    x = 3,996,752,686.90/72,038.84
  6. Step 6: Final answer
    x = 55,480.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.