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Finding the Fourth Proportional to 47,597.16, 65,687 and 27,453.68

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Solution

The fourth proportional to 47,597.16, 65,687 and 27,453.68 is: 37,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,597.16 : 65,687 = 27,453.68 : x
  2. Step 2: Convert to fraction form
    47,597.16/65,687 = 27,453.68/x
  3. Step 3: Cross multiply
    47,597.16x = 65,687 × 27,453.68
  4. Step 4: Simplify right side
    47,597.16x = 1,803,349,878.16
  5. Step 5: Solve for x
    x = 1,803,349,878.16/47,597.16
  6. Step 6: Final answer
    x = 37,887.76

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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.