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Finding the Fourth Proportional to 32,601.29, 48,462.30 and 31,643.46

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Solution

The fourth proportional to 32,601.29, 48,462.30 and 31,643.46 is: 47,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.29 : 48,462.30 = 31,643.46 : x
  2. Step 2: Convert to fraction form
    32,601.29/48,462.30 = 31,643.46/x
  3. Step 3: Cross multiply
    32,601.29x = 48,462.30 × 31,643.46
  4. Step 4: Simplify right side
    32,601.29x = 1,533,514,851.56
  5. Step 5: Solve for x
    x = 1,533,514,851.56/32,601.29
  6. Step 6: Final answer
    x = 47,038.48

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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.