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Finding the Fourth Proportional to 30,750.52, 46,127 and 8,565.84

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Solution

The fourth proportional to 30,750.52, 46,127 and 8,565.84 is: 12,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.52 : 46,127 = 8,565.84 : x
  2. Step 2: Convert to fraction form
    30,750.52/46,127 = 8,565.84/x
  3. Step 3: Cross multiply
    30,750.52x = 46,127 × 8,565.84
  4. Step 4: Simplify right side
    30,750.52x = 395,116,501.68
  5. Step 5: Solve for x
    x = 395,116,501.68/30,750.52
  6. Step 6: Final answer
    x = 12,849.10

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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.