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Finding the Fourth Proportional to 31,852.72, 47,780.48 and 9,669.20

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Solution

The fourth proportional to 31,852.72, 47,780.48 and 9,669.20 is: 14,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.72 : 47,780.48 = 9,669.20 : x
  2. Step 2: Convert to fraction form
    31,852.72/47,780.48 = 9,669.20/x
  3. Step 3: Cross multiply
    31,852.72x = 47,780.48 × 9,669.20
  4. Step 4: Simplify right side
    31,852.72x = 461,999,017.22
  5. Step 5: Solve for x
    x = 461,999,017.22/31,852.72
  6. Step 6: Final answer
    x = 14,504.22

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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.