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Finding the Fourth Proportional to 47,430.42, 65,460.86 and 28,311

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Solution

The fourth proportional to 47,430.42, 65,460.86 and 28,311 is: 39,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430.42 : 65,460.86 = 28,311 : x
  2. Step 2: Convert to fraction form
    47,430.42/65,460.86 = 28,311/x
  3. Step 3: Cross multiply
    47,430.42x = 65,460.86 × 28,311
  4. Step 4: Simplify right side
    47,430.42x = 1,853,262,265.91
  5. Step 5: Solve for x
    x = 1,853,262,265.91/47,430.42
  6. Step 6: Final answer
    x = 39,073.28

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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.