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Finding the Fourth Proportional to 70,660.49, 97,414.04 and 56,368.82

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Solution

The fourth proportional to 70,660.49, 97,414.04 and 56,368.82 is: 77,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,660.49 : 97,414.04 = 56,368.82 : x
  2. Step 2: Convert to fraction form
    70,660.49/97,414.04 = 56,368.82/x
  3. Step 3: Cross multiply
    70,660.49x = 97,414.04 × 56,368.82
  4. Step 4: Simplify right side
    70,660.49x = 5,491,114,204.39
  5. Step 5: Solve for x
    x = 5,491,114,204.39/70,660.49
  6. Step 6: Final answer
    x = 77,711.24

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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.