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Finding the Fourth Proportional to 90,539.98, 135,881.73 and 47,875.70

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Solution

The fourth proportional to 90,539.98, 135,881.73 and 47,875.70 is: 71,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,539.98 : 135,881.73 = 47,875.70 : x
  2. Step 2: Convert to fraction form
    90,539.98/135,881.73 = 47,875.70/x
  3. Step 3: Cross multiply
    90,539.98x = 135,881.73 × 47,875.70
  4. Step 4: Simplify right side
    90,539.98x = 6,505,433,280.67
  5. Step 5: Solve for x
    x = 6,505,433,280.67/90,539.98
  6. Step 6: Final answer
    x = 71,851.50

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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.