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Finding the Fourth Proportional to 52,854.14, 72,938.61 and 28,980.78

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Solution

The fourth proportional to 52,854.14, 72,938.61 and 28,980.78 is: 39,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854.14 : 72,938.61 = 28,980.78 : x
  2. Step 2: Convert to fraction form
    52,854.14/72,938.61 = 28,980.78/x
  3. Step 3: Cross multiply
    52,854.14x = 72,938.61 × 28,980.78
  4. Step 4: Simplify right side
    52,854.14x = 2,113,817,809.92
  5. Step 5: Solve for x
    x = 2,113,817,809.92/52,854.14
  6. Step 6: Final answer
    x = 39,993.42

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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.