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Finding the Fourth Proportional to 31,827.84, 47,744.64 and 9,641.28

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Solution

The fourth proportional to 31,827.84, 47,744.64 and 9,641.28 is: 14,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.84 : 47,744.64 = 9,641.28 : x
  2. Step 2: Convert to fraction form
    31,827.84/47,744.64 = 9,641.28/x
  3. Step 3: Cross multiply
    31,827.84x = 47,744.64 × 9,641.28
  4. Step 4: Simplify right side
    31,827.84x = 460,319,442.74
  5. Step 5: Solve for x
    x = 460,319,442.74/31,827.84
  6. Step 6: Final answer
    x = 14,462.79

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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.