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Finding the Fourth Proportional to 98,053.67, 147,036.49 and 27,916.31

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Solution

The fourth proportional to 98,053.67, 147,036.49 and 27,916.31 is: 41,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053.67 : 147,036.49 = 27,916.31 : x
  2. Step 2: Convert to fraction form
    98,053.67/147,036.49 = 27,916.31/x
  3. Step 3: Cross multiply
    98,053.67x = 147,036.49 × 27,916.31
  4. Step 4: Simplify right side
    98,053.67x = 4,104,716,236.15
  5. Step 5: Solve for x
    x = 4,104,716,236.15/98,053.67
  6. Step 6: Final answer
    x = 41,861.93

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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.