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Finding the Fourth Proportional to 46,531.68, 69,771.07 and 31,758.50

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Solution

The fourth proportional to 46,531.68, 69,771.07 and 31,758.50 is: 47,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,531.68 : 69,771.07 = 31,758.50 : x
  2. Step 2: Convert to fraction form
    46,531.68/69,771.07 = 31,758.50/x
  3. Step 3: Cross multiply
    46,531.68x = 69,771.07 × 31,758.50
  4. Step 4: Simplify right side
    46,531.68x = 2,215,824,526.60
  5. Step 5: Solve for x
    x = 2,215,824,526.60/46,531.68
  6. Step 6: Final answer
    x = 47,619.70

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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.