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Finding the Fourth Proportional to 57,713.40, 86,570.10 and 51,492.60

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Solution

The fourth proportional to 57,713.40, 86,570.10 and 51,492.60 is: 77,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713.40 : 86,570.10 = 51,492.60 : x
  2. Step 2: Convert to fraction form
    57,713.40/86,570.10 = 51,492.60/x
  3. Step 3: Cross multiply
    57,713.40x = 86,570.10 × 51,492.60
  4. Step 4: Simplify right side
    57,713.40x = 4,457,719,531.26
  5. Step 5: Solve for x
    x = 4,457,719,531.26/57,713.40
  6. Step 6: Final answer
    x = 77,238.90

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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.