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Finding the Fourth Proportional to 70,882.86, 97,798.05 and 42,178.53

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Solution

The fourth proportional to 70,882.86, 97,798.05 and 42,178.53 is: 58,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.86 : 97,798.05 = 42,178.53 : x
  2. Step 2: Convert to fraction form
    70,882.86/97,798.05 = 42,178.53/x
  3. Step 3: Cross multiply
    70,882.86x = 97,798.05 × 42,178.53
  4. Step 4: Simplify right side
    70,882.86x = 4,124,977,985.87
  5. Step 5: Solve for x
    x = 4,124,977,985.87/70,882.86
  6. Step 6: Final answer
    x = 58,194.29

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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.