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Finding the Fourth Proportional to 57,190.80, 85,883.40 and 42,416.40

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Solution

The fourth proportional to 57,190.80, 85,883.40 and 42,416.40 is: 63,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.80 : 85,883.40 = 42,416.40 : x
  2. Step 2: Convert to fraction form
    57,190.80/85,883.40 = 42,416.40/x
  3. Step 3: Cross multiply
    57,190.80x = 85,883.40 × 42,416.40
  4. Step 4: Simplify right side
    57,190.80x = 3,642,864,647.76
  5. Step 5: Solve for x
    x = 3,642,864,647.76/57,190.80
  6. Step 6: Final answer
    x = 63,696.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.