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Finding the Fourth Proportional to 90,985.88, 136,478.82 and 35,543

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Solution

The fourth proportional to 90,985.88, 136,478.82 and 35,543 is: 53,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,985.88 : 136,478.82 = 35,543 : x
  2. Step 2: Convert to fraction form
    90,985.88/136,478.82 = 35,543/x
  3. Step 3: Cross multiply
    90,985.88x = 136,478.82 × 35,543
  4. Step 4: Simplify right side
    90,985.88x = 4,850,866,699.26
  5. Step 5: Solve for x
    x = 4,850,866,699.26/90,985.88
  6. Step 6: Final answer
    x = 53,314.50

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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.