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Finding the Fourth Proportional to 46,642.90, 69,938.70 and 31,868.50

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Solution

The fourth proportional to 46,642.90, 69,938.70 and 31,868.50 is: 47,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,642.90 : 69,938.70 = 31,868.50 : x
  2. Step 2: Convert to fraction form
    46,642.90/69,938.70 = 31,868.50/x
  3. Step 3: Cross multiply
    46,642.90x = 69,938.70 × 31,868.50
  4. Step 4: Simplify right side
    46,642.90x = 2,228,841,460.95
  5. Step 5: Solve for x
    x = 2,228,841,460.95/46,642.90
  6. Step 6: Final answer
    x = 47,785.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.