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Finding the Fourth Proportional to 32,465.33, 48,705.17 and 9,976.14

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Solution

The fourth proportional to 32,465.33, 48,705.17 and 9,976.14 is: 14,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.33 : 48,705.17 = 9,976.14 : x
  2. Step 2: Convert to fraction form
    32,465.33/48,705.17 = 9,976.14/x
  3. Step 3: Cross multiply
    32,465.33x = 48,705.17 × 9,976.14
  4. Step 4: Simplify right side
    32,465.33x = 485,889,491.95
  5. Step 5: Solve for x
    x = 485,889,491.95/32,465.33
  6. Step 6: Final answer
    x = 14,966.41

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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.