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Finding the Fourth Proportional to 31,888.17, 47,834.93 and 9,701.72

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Solution

The fourth proportional to 31,888.17, 47,834.93 and 9,701.72 is: 14,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.17 : 47,834.93 = 9,701.72 : x
  2. Step 2: Convert to fraction form
    31,888.17/47,834.93 = 9,701.72/x
  3. Step 3: Cross multiply
    31,888.17x = 47,834.93 × 9,701.72
  4. Step 4: Simplify right side
    31,888.17x = 464,080,809.40
  5. Step 5: Solve for x
    x = 464,080,809.40/31,888.17
  6. Step 6: Final answer
    x = 14,553.38

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1.5x scale

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.