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Finding the Fourth Proportional to 78,248.84, 107,983.45 and 42,438.84

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Solution

The fourth proportional to 78,248.84, 107,983.45 and 42,438.84 is: 58,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248.84 : 107,983.45 = 42,438.84 : x
  2. Step 2: Convert to fraction form
    78,248.84/107,983.45 = 42,438.84/x
  3. Step 3: Cross multiply
    78,248.84x = 107,983.45 × 42,438.84
  4. Step 4: Simplify right side
    78,248.84x = 4,582,692,357.20
  5. Step 5: Solve for x
    x = 4,582,692,357.20/78,248.84
  6. Step 6: Final answer
    x = 58,565.63

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1.5x scale

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.