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Finding the Fourth Proportional to 47,327.52, 65,323.36 and 28,461

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Solution

The fourth proportional to 47,327.52, 65,323.36 and 28,461 is: 39,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,327.52 : 65,323.36 = 28,461 : x
  2. Step 2: Convert to fraction form
    47,327.52/65,323.36 = 28,461/x
  3. Step 3: Cross multiply
    47,327.52x = 65,323.36 × 28,461
  4. Step 4: Simplify right side
    47,327.52x = 1,859,168,148.96
  5. Step 5: Solve for x
    x = 1,859,168,148.96/47,327.52
  6. Step 6: Final answer
    x = 39,283.02

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