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Finding the Fourth Proportional to 32,386.70, 48,580.16 and 9,013.14

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Solution

The fourth proportional to 32,386.70, 48,580.16 and 9,013.14 is: 13,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386.70 : 48,580.16 = 9,013.14 : x
  2. Step 2: Convert to fraction form
    32,386.70/48,580.16 = 9,013.14/x
  3. Step 3: Cross multiply
    32,386.70x = 48,580.16 × 9,013.14
  4. Step 4: Simplify right side
    32,386.70x = 437,859,738.24
  5. Step 5: Solve for x
    x = 437,859,738.24/32,386.70
  6. Step 6: Final answer
    x = 13,519.74

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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.