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Finding the Fourth Proportional to 47,547.40, 65,599.26 and 27,403.64

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Solution

The fourth proportional to 47,547.40, 65,599.26 and 27,403.64 is: 37,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547.40 : 65,599.26 = 27,403.64 : x
  2. Step 2: Convert to fraction form
    47,547.40/65,599.26 = 27,403.64/x
  3. Step 3: Cross multiply
    47,547.40x = 65,599.26 × 27,403.64
  4. Step 4: Simplify right side
    47,547.40x = 1,797,658,505.31
  5. Step 5: Solve for x
    x = 1,797,658,505.31/47,547.40
  6. Step 6: Final answer
    x = 37,807.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.