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Finding the Fourth Proportional to 47,098.32, 64,988.76 and 26,952

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Solution

The fourth proportional to 47,098.32, 64,988.76 and 26,952 is: 37,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.32 : 64,988.76 = 26,952 : x
  2. Step 2: Convert to fraction form
    47,098.32/64,988.76 = 26,952/x
  3. Step 3: Cross multiply
    47,098.32x = 64,988.76 × 26,952
  4. Step 4: Simplify right side
    47,098.32x = 1,751,577,059.52
  5. Step 5: Solve for x
    x = 1,751,577,059.52/47,098.32
  6. Step 6: Final answer
    x = 37,189.80

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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.