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Finding the Fourth Proportional to 57,110.40, 78,862.40 and 35,926.40

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Solution

The fourth proportional to 57,110.40, 78,862.40 and 35,926.40 is: 49,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,110.40 : 78,862.40 = 35,926.40 : x
  2. Step 2: Convert to fraction form
    57,110.40/78,862.40 = 35,926.40/x
  3. Step 3: Cross multiply
    57,110.40x = 78,862.40 × 35,926.40
  4. Step 4: Simplify right side
    57,110.40x = 2,833,242,127.36
  5. Step 5: Solve for x
    x = 2,833,242,127.36/57,110.40
  6. Step 6: Final answer
    x = 49,609.92

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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.