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Finding the Fourth Proportional to 47,547.64, 65,615.64 and 27,404.39

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Solution

The fourth proportional to 47,547.64, 65,615.64 and 27,404.39 is: 37,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547.64 : 65,615.64 = 27,404.39 : x
  2. Step 2: Convert to fraction form
    47,547.64/65,615.64 = 27,404.39/x
  3. Step 3: Cross multiply
    47,547.64x = 65,615.64 × 27,404.39
  4. Step 4: Simplify right side
    47,547.64x = 1,798,156,260.58
  5. Step 5: Solve for x
    x = 1,798,156,260.58/47,547.64
  6. Step 6: Final answer
    x = 37,817.99

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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.