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Finding the Fourth Proportional to 70,411.14, 97,167.38 and 42,123.50

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Solution

The fourth proportional to 70,411.14, 97,167.38 and 42,123.50 is: 58,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.14 : 97,167.38 = 42,123.50 : x
  2. Step 2: Convert to fraction form
    70,411.14/97,167.38 = 42,123.50/x
  3. Step 3: Cross multiply
    70,411.14x = 97,167.38 × 42,123.50
  4. Step 4: Simplify right side
    70,411.14x = 4,093,030,131.43
  5. Step 5: Solve for x
    x = 4,093,030,131.43/70,411.14
  6. Step 6: Final answer
    x = 58,130.43

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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.