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Finding the Fourth Proportional to 47,316, 65,296.56 and 28,453.44

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Solution

The fourth proportional to 47,316, 65,296.56 and 28,453.44 is: 39,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316 : 65,296.56 = 28,453.44 : x
  2. Step 2: Convert to fraction form
    47,316/65,296.56 = 28,453.44/x
  3. Step 3: Cross multiply
    47,316x = 65,296.56 × 28,453.44
  4. Step 4: Simplify right side
    47,316x = 1,857,911,752.17
  5. Step 5: Solve for x
    x = 1,857,911,752.17/47,316
  6. Step 6: Final answer
    x = 39,266.04

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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.