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Finding the Fourth Proportional to 46,805.76, 70,116 and 24,585.84

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Solution

The fourth proportional to 46,805.76, 70,116 and 24,585.84 is: 36,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,805.76 : 70,116 = 24,585.84 : x
  2. Step 2: Convert to fraction form
    46,805.76/70,116 = 24,585.84/x
  3. Step 3: Cross multiply
    46,805.76x = 70,116 × 24,585.84
  4. Step 4: Simplify right side
    46,805.76x = 1,723,860,757.44
  5. Step 5: Solve for x
    x = 1,723,860,757.44/46,805.76
  6. Step 6: Final answer
    x = 36,830.10

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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.