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Finding the Fourth Proportional to 97,368.52, 146,058.29 and 47,491.29

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Solution

The fourth proportional to 97,368.52, 146,058.29 and 47,491.29 is: 71,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,368.52 : 146,058.29 = 47,491.29 : x
  2. Step 2: Convert to fraction form
    97,368.52/146,058.29 = 47,491.29/x
  3. Step 3: Cross multiply
    97,368.52x = 146,058.29 × 47,491.29
  4. Step 4: Simplify right side
    97,368.52x = 6,936,496,607.29
  5. Step 5: Solve for x
    x = 6,936,496,607.29/97,368.52
  6. Step 6: Final answer
    x = 71,239.62

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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.