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Finding the Fourth Proportional to 70,607.92, 97,420.32 and 41,920

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Solution

The fourth proportional to 70,607.92, 97,420.32 and 41,920 is: 57,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607.92 : 97,420.32 = 41,920 : x
  2. Step 2: Convert to fraction form
    70,607.92/97,420.32 = 41,920/x
  3. Step 3: Cross multiply
    70,607.92x = 97,420.32 × 41,920
  4. Step 4: Simplify right side
    70,607.92x = 4,083,859,814.40
  5. Step 5: Solve for x
    x = 4,083,859,814.40/70,607.92
  6. Step 6: Final answer
    x = 57,838.55

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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.