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Finding the Fourth Proportional to 84,928.32, 117,202.53 and 46,689.47

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Solution

The fourth proportional to 84,928.32, 117,202.53 and 46,689.47 is: 64,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928.32 : 117,202.53 = 46,689.47 : x
  2. Step 2: Convert to fraction form
    84,928.32/117,202.53 = 46,689.47/x
  3. Step 3: Cross multiply
    84,928.32x = 117,202.53 × 46,689.47
  4. Step 4: Simplify right side
    84,928.32x = 5,472,123,422.35
  5. Step 5: Solve for x
    x = 5,472,123,422.35/84,928.32
  6. Step 6: Final answer
    x = 64,432.26

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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.