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Finding the Fourth Proportional to 113,756.48, 170,623.20 and 30,658.88

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Solution

The fourth proportional to 113,756.48, 170,623.20 and 30,658.88 is: 45,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,756.48 : 170,623.20 = 30,658.88 : x
  2. Step 2: Convert to fraction form
    113,756.48/170,623.20 = 30,658.88/x
  3. Step 3: Cross multiply
    113,756.48x = 170,623.20 × 30,658.88
  4. Step 4: Simplify right side
    113,756.48x = 5,231,116,214.02
  5. Step 5: Solve for x
    x = 5,231,116,214.02/113,756.48
  6. Step 6: Final answer
    x = 45,985.22

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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.