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Finding the Fourth Proportional to 47,666.34, 65,782.53 and 27,526.91

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Solution

The fourth proportional to 47,666.34, 65,782.53 and 27,526.91 is: 37,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666.34 : 65,782.53 = 27,526.91 : x
  2. Step 2: Convert to fraction form
    47,666.34/65,782.53 = 27,526.91/x
  3. Step 3: Cross multiply
    47,666.34x = 65,782.53 × 27,526.91
  4. Step 4: Simplify right side
    47,666.34x = 1,810,789,453.97
  5. Step 5: Solve for x
    x = 1,810,789,453.97/47,666.34
  6. Step 6: Final answer
    x = 37,988.85

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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.