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Finding the Fourth Proportional to 71,585.84, 107,378.66 and 30,032.84

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Solution

The fourth proportional to 71,585.84, 107,378.66 and 30,032.84 is: 45,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,585.84 : 107,378.66 = 30,032.84 : x
  2. Step 2: Convert to fraction form
    71,585.84/107,378.66 = 30,032.84/x
  3. Step 3: Cross multiply
    71,585.84x = 107,378.66 × 30,032.84
  4. Step 4: Simplify right side
    71,585.84x = 3,224,886,115.19
  5. Step 5: Solve for x
    x = 3,224,886,115.19/71,585.84
  6. Step 6: Final answer
    x = 45,049.22

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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.