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Finding the Fourth Proportional to 35,133.96, 48,517.38 and 22,580.76

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Solution

The fourth proportional to 35,133.96, 48,517.38 and 22,580.76 is: 31,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,133.96 : 48,517.38 = 22,580.76 : x
  2. Step 2: Convert to fraction form
    35,133.96/48,517.38 = 22,580.76/x
  3. Step 3: Cross multiply
    35,133.96x = 48,517.38 × 22,580.76
  4. Step 4: Simplify right side
    35,133.96x = 1,095,559,313.61
  5. Step 5: Solve for x
    x = 1,095,559,313.61/35,133.96
  6. Step 6: Final answer
    x = 31,182.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.