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Finding the Fourth Proportional to 97,607.92, 146,312.16 and 55,398.82

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Solution

The fourth proportional to 97,607.92, 146,312.16 and 55,398.82 is: 83,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,607.92 : 146,312.16 = 55,398.82 : x
  2. Step 2: Convert to fraction form
    97,607.92/146,312.16 = 55,398.82/x
  3. Step 3: Cross multiply
    97,607.92x = 146,312.16 × 55,398.82
  4. Step 4: Simplify right side
    97,607.92x = 8,105,521,015.65
  5. Step 5: Solve for x
    x = 8,105,521,015.65/97,607.92
  6. Step 6: Final answer
    x = 83,041.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.