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Finding the Fourth Proportional to 31,970.48, 44,118.60 and 17,822.48

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Solution

The fourth proportional to 31,970.48, 44,118.60 and 17,822.48 is: 24,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.48 : 44,118.60 = 17,822.48 : x
  2. Step 2: Convert to fraction form
    31,970.48/44,118.60 = 17,822.48/x
  3. Step 3: Cross multiply
    31,970.48x = 44,118.60 × 17,822.48
  4. Step 4: Simplify right side
    31,970.48x = 786,302,866.13
  5. Step 5: Solve for x
    x = 786,302,866.13/31,970.48
  6. Step 6: Final answer
    x = 24,594.65

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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.