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Finding the Fourth Proportional to 38,403, 52,947.54 and 31,572

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Solution

The fourth proportional to 38,403, 52,947.54 and 31,572 is: 43,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403 : 52,947.54 = 31,572 : x
  2. Step 2: Convert to fraction form
    38,403/52,947.54 = 31,572/x
  3. Step 3: Cross multiply
    38,403x = 52,947.54 × 31,572
  4. Step 4: Simplify right side
    38,403x = 1,671,659,732.88
  5. Step 5: Solve for x
    x = 1,671,659,732.88/38,403
  6. Step 6: Final answer
    x = 43,529.40

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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.