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Finding the Fourth Proportional to 78,242.96, 107,834.28 and 56,988.56

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Solution

The fourth proportional to 78,242.96, 107,834.28 and 56,988.56 is: 78,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.96 : 107,834.28 = 56,988.56 : x
  2. Step 2: Convert to fraction form
    78,242.96/107,834.28 = 56,988.56/x
  3. Step 3: Cross multiply
    78,242.96x = 107,834.28 × 56,988.56
  4. Step 4: Simplify right side
    78,242.96x = 6,145,320,335.84
  5. Step 5: Solve for x
    x = 6,145,320,335.84/78,242.96
  6. Step 6: Final answer
    x = 78,541.51

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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.