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Finding the Fourth Proportional to 103,085.71, 154,652.78 and 32,004.70

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Solution

The fourth proportional to 103,085.71, 154,652.78 and 32,004.70 is: 48,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,085.71 : 154,652.78 = 32,004.70 : x
  2. Step 2: Convert to fraction form
    103,085.71/154,652.78 = 32,004.70/x
  3. Step 3: Cross multiply
    103,085.71x = 154,652.78 × 32,004.70
  4. Step 4: Simplify right side
    103,085.71x = 4,949,615,828.07
  5. Step 5: Solve for x
    x = 4,949,615,828.07/103,085.71
  6. Step 6: Final answer
    x = 48,014.57

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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.