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Finding the Fourth Proportional to 31,775.31, 47,663.31 and 9,588.90

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Solution

The fourth proportional to 31,775.31, 47,663.31 and 9,588.90 is: 14,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.31 : 47,663.31 = 9,588.90 : x
  2. Step 2: Convert to fraction form
    31,775.31/47,663.31 = 9,588.90/x
  3. Step 3: Cross multiply
    31,775.31x = 47,663.31 × 9,588.90
  4. Step 4: Simplify right side
    31,775.31x = 457,038,713.26
  5. Step 5: Solve for x
    x = 457,038,713.26/31,775.31
  6. Step 6: Final answer
    x = 14,383.45

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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.