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Finding the Fourth Proportional to 31,763.95, 47,653.19 and 10,703.49

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Solution

The fourth proportional to 31,763.95, 47,653.19 and 10,703.49 is: 16,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.95 : 47,653.19 = 10,703.49 : x
  2. Step 2: Convert to fraction form
    31,763.95/47,653.19 = 10,703.49/x
  3. Step 3: Cross multiply
    31,763.95x = 47,653.19 × 10,703.49
  4. Step 4: Simplify right side
    31,763.95x = 510,055,254.68
  5. Step 5: Solve for x
    x = 510,055,254.68/31,763.95
  6. Step 6: Final answer
    x = 16,057.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.