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Finding the Fourth Proportional to 98,562.65, 147,827.80 and 27,490.13

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Solution

The fourth proportional to 98,562.65, 147,827.80 and 27,490.13 is: 41,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,562.65 : 147,827.80 = 27,490.13 : x
  2. Step 2: Convert to fraction form
    98,562.65/147,827.80 = 27,490.13/x
  3. Step 3: Cross multiply
    98,562.65x = 147,827.80 × 27,490.13
  4. Step 4: Simplify right side
    98,562.65x = 4,063,804,563.02
  5. Step 5: Solve for x
    x = 4,063,804,563.02/98,562.65
  6. Step 6: Final answer
    x = 41,230.67

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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.