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Finding the Fourth Proportional to 31,996, 44,154.48 and 17,848.84

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Solution

The fourth proportional to 31,996, 44,154.48 and 17,848.84 is: 24,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996 : 44,154.48 = 17,848.84 : x
  2. Step 2: Convert to fraction form
    31,996/44,154.48 = 17,848.84/x
  3. Step 3: Cross multiply
    31,996x = 44,154.48 × 17,848.84
  4. Step 4: Simplify right side
    31,996x = 788,106,248.80
  5. Step 5: Solve for x
    x = 788,106,248.80/31,996
  6. Step 6: Final answer
    x = 24,631.40

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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.