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Finding the Fourth Proportional to 46,634.40, 69,925.95 and 31,860

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Solution

The fourth proportional to 46,634.40, 69,925.95 and 31,860 is: 47,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634.40 : 69,925.95 = 31,860 : x
  2. Step 2: Convert to fraction form
    46,634.40/69,925.95 = 31,860/x
  3. Step 3: Cross multiply
    46,634.40x = 69,925.95 × 31,860
  4. Step 4: Simplify right side
    46,634.40x = 2,227,840,767
  5. Step 5: Solve for x
    x = 2,227,840,767/46,634.40
  6. Step 6: Final answer
    x = 47,772.48

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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.