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Finding the Fourth Proportional to 102,615.08, 153,931.40 and 36,049.40

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Solution

The fourth proportional to 102,615.08, 153,931.40 and 36,049.40 is: 54,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,615.08 : 153,931.40 = 36,049.40 : x
  2. Step 2: Convert to fraction form
    102,615.08/153,931.40 = 36,049.40/x
  3. Step 3: Cross multiply
    102,615.08x = 153,931.40 × 36,049.40
  4. Step 4: Simplify right side
    102,615.08x = 5,549,134,611.16
  5. Step 5: Solve for x
    x = 5,549,134,611.16/102,615.08
  6. Step 6: Final answer
    x = 54,077.18

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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.