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Finding the Fourth Proportional to 47,505.83, 65,566.08 and 27,359.01

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Solution

The fourth proportional to 47,505.83, 65,566.08 and 27,359.01 is: 37,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,505.83 : 65,566.08 = 27,359.01 : x
  2. Step 2: Convert to fraction form
    47,505.83/65,566.08 = 27,359.01/x
  3. Step 3: Cross multiply
    47,505.83x = 65,566.08 × 27,359.01
  4. Step 4: Simplify right side
    47,505.83x = 1,793,823,038.38
  5. Step 5: Solve for x
    x = 1,793,823,038.38/47,505.83
  6. Step 6: Final answer
    x = 37,760.06

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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.