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Finding the Fourth Proportional to 99,590.76, 149,440.82 and 46,998.87

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Solution

The fourth proportional to 99,590.76, 149,440.82 and 46,998.87 is: 70,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,590.76 : 149,440.82 = 46,998.87 : x
  2. Step 2: Convert to fraction form
    99,590.76/149,440.82 = 46,998.87/x
  3. Step 3: Cross multiply
    99,590.76x = 149,440.82 × 46,998.87
  4. Step 4: Simplify right side
    99,590.76x = 7,023,549,436.88
  5. Step 5: Solve for x
    x = 7,023,549,436.88/99,590.76
  6. Step 6: Final answer
    x = 70,524.11

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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.