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Finding the Fourth Proportional to 32,424.78, 44,746.32 and 18,277.86

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Solution

The fourth proportional to 32,424.78, 44,746.32 and 18,277.86 is: 25,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.78 : 44,746.32 = 18,277.86 : x
  2. Step 2: Convert to fraction form
    32,424.78/44,746.32 = 18,277.86/x
  3. Step 3: Cross multiply
    32,424.78x = 44,746.32 × 18,277.86
  4. Step 4: Simplify right side
    32,424.78x = 817,866,972.48
  5. Step 5: Solve for x
    x = 817,866,972.48/32,424.78
  6. Step 6: Final answer
    x = 25,223.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.