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Finding the Fourth Proportional to 31,758.95, 47,623.03 and 9,568.19

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Solution

The fourth proportional to 31,758.95, 47,623.03 and 9,568.19 is: 14,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.95 : 47,623.03 = 9,568.19 : x
  2. Step 2: Convert to fraction form
    31,758.95/47,623.03 = 9,568.19/x
  3. Step 3: Cross multiply
    31,758.95x = 47,623.03 × 9,568.19
  4. Step 4: Simplify right side
    31,758.95x = 455,666,199.42
  5. Step 5: Solve for x
    x = 455,666,199.42/31,758.95
  6. Step 6: Final answer
    x = 14,347.65

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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.