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Finding the Fourth Proportional to 45,947.40, 63,405.78 and 28,072.32

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Solution

The fourth proportional to 45,947.40, 63,405.78 and 28,072.32 is: 38,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,947.40 : 63,405.78 = 28,072.32 : x
  2. Step 2: Convert to fraction form
    45,947.40/63,405.78 = 28,072.32/x
  3. Step 3: Cross multiply
    45,947.40x = 63,405.78 × 28,072.32
  4. Step 4: Simplify right side
    45,947.40x = 1,779,947,346.01
  5. Step 5: Solve for x
    x = 1,779,947,346.01/45,947.40
  6. Step 6: Final answer
    x = 38,738.80

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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.