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Finding the Fourth Proportional to 70,951.94, 97,916.03 and 42,267.68

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Solution

The fourth proportional to 70,951.94, 97,916.03 and 42,267.68 is: 58,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,951.94 : 97,916.03 = 42,267.68 : x
  2. Step 2: Convert to fraction form
    70,951.94/97,916.03 = 42,267.68/x
  3. Step 3: Cross multiply
    70,951.94x = 97,916.03 × 42,267.68
  4. Step 4: Simplify right side
    70,951.94x = 4,138,683,039.00
  5. Step 5: Solve for x
    x = 4,138,683,039.00/70,951.94
  6. Step 6: Final answer
    x = 58,330.80

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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.