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Finding the Fourth Proportional to 97,952.84, 146,929.22 and 45,333.62

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Solution

The fourth proportional to 97,952.84, 146,929.22 and 45,333.62 is: 68,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,952.84 : 146,929.22 = 45,333.62 : x
  2. Step 2: Convert to fraction form
    97,952.84/146,929.22 = 45,333.62/x
  3. Step 3: Cross multiply
    97,952.84x = 146,929.22 × 45,333.62
  4. Step 4: Simplify right side
    97,952.84x = 6,660,833,426.38
  5. Step 5: Solve for x
    x = 6,660,833,426.38/97,952.84
  6. Step 6: Final answer
    x = 68,000.41

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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.