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Finding the Fourth Proportional to 47,349.66, 65,284.47 and 38,364.06

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Solution

The fourth proportional to 47,349.66, 65,284.47 and 38,364.06 is: 52,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349.66 : 65,284.47 = 38,364.06 : x
  2. Step 2: Convert to fraction form
    47,349.66/65,284.47 = 38,364.06/x
  3. Step 3: Cross multiply
    47,349.66x = 65,284.47 × 38,364.06
  4. Step 4: Simplify right side
    47,349.66x = 2,504,577,324.15
  5. Step 5: Solve for x
    x = 2,504,577,324.15/47,349.66
  6. Step 6: Final answer
    x = 52,895.36

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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.