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Finding the Fourth Proportional to 47,114.71, 65,022.02 and 26,977.93

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Solution

The fourth proportional to 47,114.71, 65,022.02 and 26,977.93 is: 37,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114.71 : 65,022.02 = 26,977.93 : x
  2. Step 2: Convert to fraction form
    47,114.71/65,022.02 = 26,977.93/x
  3. Step 3: Cross multiply
    47,114.71x = 65,022.02 × 26,977.93
  4. Step 4: Simplify right side
    47,114.71x = 1,754,159,369.13
  5. Step 5: Solve for x
    x = 1,754,159,369.13/47,114.71
  6. Step 6: Final answer
    x = 37,231.67

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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.