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Finding the Fourth Proportional to 76,170.65, 105,114.21 and 42,178.41

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Solution

The fourth proportional to 76,170.65, 105,114.21 and 42,178.41 is: 58,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,170.65 : 105,114.21 = 42,178.41 : x
  2. Step 2: Convert to fraction form
    76,170.65/105,114.21 = 42,178.41/x
  3. Step 3: Cross multiply
    76,170.65x = 105,114.21 × 42,178.41
  4. Step 4: Simplify right side
    76,170.65x = 4,433,550,088.04
  5. Step 5: Solve for x
    x = 4,433,550,088.04/76,170.65
  6. Step 6: Final answer
    x = 58,205.49

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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.