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Finding the Fourth Proportional to 113,677.52, 170,495.64 and 30,552.08

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Solution

The fourth proportional to 113,677.52, 170,495.64 and 30,552.08 is: 45,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,677.52 : 170,495.64 = 30,552.08 : x
  2. Step 2: Convert to fraction form
    113,677.52/170,495.64 = 30,552.08/x
  3. Step 3: Cross multiply
    113,677.52x = 170,495.64 × 30,552.08
  4. Step 4: Simplify right side
    113,677.52x = 5,208,996,432.93
  5. Step 5: Solve for x
    x = 5,208,996,432.93/113,677.52
  6. Step 6: Final answer
    x = 45,822.57

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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.