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Finding the Fourth Proportional to 31,803.68, 47,473 and 29,490.72

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Solution

The fourth proportional to 31,803.68, 47,473 and 29,490.72 is: 44,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.68 : 47,473 = 29,490.72 : x
  2. Step 2: Convert to fraction form
    31,803.68/47,473 = 29,490.72/x
  3. Step 3: Cross multiply
    31,803.68x = 47,473 × 29,490.72
  4. Step 4: Simplify right side
    31,803.68x = 1,400,012,950.56
  5. Step 5: Solve for x
    x = 1,400,012,950.56/31,803.68
  6. Step 6: Final answer
    x = 44,020.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.