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Finding the Fourth Proportional to 32,470.32, 48,708 and 10,284.96

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Solution

The fourth proportional to 32,470.32, 48,708 and 10,284.96 is: 15,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.32 : 48,708 = 10,284.96 : x
  2. Step 2: Convert to fraction form
    32,470.32/48,708 = 10,284.96/x
  3. Step 3: Cross multiply
    32,470.32x = 48,708 × 10,284.96
  4. Step 4: Simplify right side
    32,470.32x = 500,959,831.68
  5. Step 5: Solve for x
    x = 500,959,831.68/32,470.32
  6. Step 6: Final answer
    x = 15,428.24

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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.