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Finding the Fourth Proportional to 101,712.96, 152,576.16 and 35,159.52

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Solution

The fourth proportional to 101,712.96, 152,576.16 and 35,159.52 is: 52,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712.96 : 152,576.16 = 35,159.52 : x
  2. Step 2: Convert to fraction form
    101,712.96/152,576.16 = 35,159.52/x
  3. Step 3: Cross multiply
    101,712.96x = 152,576.16 × 35,159.52
  4. Step 4: Simplify right side
    101,712.96x = 5,364,504,549.04
  5. Step 5: Solve for x
    x = 5,364,504,549.04/101,712.96
  6. Step 6: Final answer
    x = 52,741.60

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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.