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Finding the Fourth Proportional to 121,903.86, 182,864.00 and 47,024.63

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Solution

The fourth proportional to 121,903.86, 182,864.00 and 47,024.63 is: 70,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,903.86 : 182,864.00 = 47,024.63 : x
  2. Step 2: Convert to fraction form
    121,903.86/182,864.00 = 47,024.63/x
  3. Step 3: Cross multiply
    121,903.86x = 182,864.00 × 47,024.63
  4. Step 4: Simplify right side
    121,903.86x = 8,599,110,790.88
  5. Step 5: Solve for x
    x = 8,599,110,790.88/121,903.86
  6. Step 6: Final answer
    x = 70,540.10

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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.