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Finding the Fourth Proportional to 115,783.30, 173,650.65 and 32,657.86

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Solution

The fourth proportional to 115,783.30, 173,650.65 and 32,657.86 is: 48,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,783.30 : 173,650.65 = 32,657.86 : x
  2. Step 2: Convert to fraction form
    115,783.30/173,650.65 = 32,657.86/x
  3. Step 3: Cross multiply
    115,783.30x = 173,650.65 × 32,657.86
  4. Step 4: Simplify right side
    115,783.30x = 5,671,058,616.61
  5. Step 5: Solve for x
    x = 5,671,058,616.61/115,783.30
  6. Step 6: Final answer
    x = 48,979.94

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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.