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Finding the Fourth Proportional to 47,649.34, 65,759.07 and 27,509.91

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Solution

The fourth proportional to 47,649.34, 65,759.07 and 27,509.91 is: 37,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649.34 : 65,759.07 = 27,509.91 : x
  2. Step 2: Convert to fraction form
    47,649.34/65,759.07 = 27,509.91/x
  3. Step 3: Cross multiply
    47,649.34x = 65,759.07 × 27,509.91
  4. Step 4: Simplify right side
    47,649.34x = 1,809,026,097.38
  5. Step 5: Solve for x
    x = 1,809,026,097.38/47,649.34
  6. Step 6: Final answer
    x = 37,965.40

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1.5x scale

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.