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Finding the Fourth Proportional to 31,401.68, 46,898.14 and 28,135.76

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Solution

The fourth proportional to 31,401.68, 46,898.14 and 28,135.76 is: 42,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401.68 : 46,898.14 = 28,135.76 : x
  2. Step 2: Convert to fraction form
    31,401.68/46,898.14 = 28,135.76/x
  3. Step 3: Cross multiply
    31,401.68x = 46,898.14 × 28,135.76
  4. Step 4: Simplify right side
    31,401.68x = 1,319,514,811.49
  5. Step 5: Solve for x
    x = 1,319,514,811.49/31,401.68
  6. Step 6: Final answer
    x = 42,020.52

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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.