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Finding the Fourth Proportional to 98,535.84, 147,801.24 and 27,458.16

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Solution

The fourth proportional to 98,535.84, 147,801.24 and 27,458.16 is: 41,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.84 : 147,801.24 = 27,458.16 : x
  2. Step 2: Convert to fraction form
    98,535.84/147,801.24 = 27,458.16/x
  3. Step 3: Cross multiply
    98,535.84x = 147,801.24 × 27,458.16
  4. Step 4: Simplify right side
    98,535.84x = 4,058,350,096.12
  5. Step 5: Solve for x
    x = 4,058,350,096.12/98,535.84
  6. Step 6: Final answer
    x = 41,186.54

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1.5x scale

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.