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Finding the Fourth Proportional to 35,590.92, 48,961.80 and 30,774.93

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Solution

The fourth proportional to 35,590.92, 48,961.80 and 30,774.93 is: 42,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,590.92 : 48,961.80 = 30,774.93 : x
  2. Step 2: Convert to fraction form
    35,590.92/48,961.80 = 30,774.93/x
  3. Step 3: Cross multiply
    35,590.92x = 48,961.80 × 30,774.93
  4. Step 4: Simplify right side
    35,590.92x = 1,506,795,967.67
  5. Step 5: Solve for x
    x = 1,506,795,967.67/35,590.92
  6. Step 6: Final answer
    x = 42,336.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.