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Finding the Fourth Proportional to 70,799.46, 106,149.84 and 31,335

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Solution

The fourth proportional to 70,799.46, 106,149.84 and 31,335 is: 46,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,799.46 : 106,149.84 = 31,335 : x
  2. Step 2: Convert to fraction form
    70,799.46/106,149.84 = 31,335/x
  3. Step 3: Cross multiply
    70,799.46x = 106,149.84 × 31,335
  4. Step 4: Simplify right side
    70,799.46x = 3,326,205,236.40
  5. Step 5: Solve for x
    x = 3,326,205,236.40/70,799.46
  6. Step 6: Final answer
    x = 46,980.66

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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.