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Finding the Fourth Proportional to 35,046, 48,363.54 and 22,470.75

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Solution

The fourth proportional to 35,046, 48,363.54 and 22,470.75 is: 31,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,046 : 48,363.54 = 22,470.75 : x
  2. Step 2: Convert to fraction form
    35,046/48,363.54 = 22,470.75/x
  3. Step 3: Cross multiply
    35,046x = 48,363.54 × 22,470.75
  4. Step 4: Simplify right side
    35,046x = 1,086,765,016.46
  5. Step 5: Solve for x
    x = 1,086,765,016.46/35,046
  6. Step 6: Final answer
    x = 31,009.67

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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.