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Finding the Fourth Proportional to 115,246.40, 172,869.30 and 32,140.40

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Solution

The fourth proportional to 115,246.40, 172,869.30 and 32,140.40 is: 48,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,246.40 : 172,869.30 = 32,140.40 : x
  2. Step 2: Convert to fraction form
    115,246.40/172,869.30 = 32,140.40/x
  3. Step 3: Cross multiply
    115,246.40x = 172,869.30 × 32,140.40
  4. Step 4: Simplify right side
    115,246.40x = 5,556,088,449.72
  5. Step 5: Solve for x
    x = 5,556,088,449.72/115,246.40
  6. Step 6: Final answer
    x = 48,210.52

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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.