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Finding the Fourth Proportional to 64,157.92, 88,494 and 41,832.16

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Solution

The fourth proportional to 64,157.92, 88,494 and 41,832.16 is: 57,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,157.92 : 88,494 = 41,832.16 : x
  2. Step 2: Convert to fraction form
    64,157.92/88,494 = 41,832.16/x
  3. Step 3: Cross multiply
    64,157.92x = 88,494 × 41,832.16
  4. Step 4: Simplify right side
    64,157.92x = 3,701,895,167.04
  5. Step 5: Solve for x
    x = 3,701,895,167.04/64,157.92
  6. Step 6: Final answer
    x = 57,699.74

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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.