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Finding the Fourth Proportional to 97,532.35, 146,298.52 and 27,411.66

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Solution

The fourth proportional to 97,532.35, 146,298.52 and 27,411.66 is: 41,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,532.35 : 146,298.52 = 27,411.66 : x
  2. Step 2: Convert to fraction form
    97,532.35/146,298.52 = 27,411.66/x
  3. Step 3: Cross multiply
    97,532.35x = 146,298.52 × 27,411.66
  4. Step 4: Simplify right side
    97,532.35x = 4,010,285,220.21
  5. Step 5: Solve for x
    x = 4,010,285,220.21/97,532.35
  6. Step 6: Final answer
    x = 41,117.49

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