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Finding the Fourth Proportional to 31,957.68, 44,101.62 and 17,813.28

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Solution

The fourth proportional to 31,957.68, 44,101.62 and 17,813.28 is: 24,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.68 : 44,101.62 = 17,813.28 : x
  2. Step 2: Convert to fraction form
    31,957.68/44,101.62 = 17,813.28/x
  3. Step 3: Cross multiply
    31,957.68x = 44,101.62 × 17,813.28
  4. Step 4: Simplify right side
    31,957.68x = 785,594,505.51
  5. Step 5: Solve for x
    x = 785,594,505.51/31,957.68
  6. Step 6: Final answer
    x = 24,582.34

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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.