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Finding the Fourth Proportional to 38,907.76, 53,617.80 and 28,280.56

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Solution

The fourth proportional to 38,907.76, 53,617.80 and 28,280.56 is: 38,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907.76 : 53,617.80 = 28,280.56 : x
  2. Step 2: Convert to fraction form
    38,907.76/53,617.80 = 28,280.56/x
  3. Step 3: Cross multiply
    38,907.76x = 53,617.80 × 28,280.56
  4. Step 4: Simplify right side
    38,907.76x = 1,516,341,409.97
  5. Step 5: Solve for x
    x = 1,516,341,409.97/38,907.76
  6. Step 6: Final answer
    x = 38,972.72

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Why These Related Problems?

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