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Finding the Fourth Proportional to 78,000.84, 107,641.04 and 42,190.74

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Solution

The fourth proportional to 78,000.84, 107,641.04 and 42,190.74 is: 58,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.84 : 107,641.04 = 42,190.74 : x
  2. Step 2: Convert to fraction form
    78,000.84/107,641.04 = 42,190.74/x
  3. Step 3: Cross multiply
    78,000.84x = 107,641.04 × 42,190.74
  4. Step 4: Simplify right side
    78,000.84x = 4,541,454,921.02
  5. Step 5: Solve for x
    x = 4,541,454,921.02/78,000.84
  6. Step 6: Final answer
    x = 58,223.15

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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.