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Finding the Fourth Proportional to 47,678.72, 65,796.32 and 26,457.28

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Solution

The fourth proportional to 47,678.72, 65,796.32 and 26,457.28 is: 36,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,678.72 : 65,796.32 = 26,457.28 : x
  2. Step 2: Convert to fraction form
    47,678.72/65,796.32 = 26,457.28/x
  3. Step 3: Cross multiply
    47,678.72x = 65,796.32 × 26,457.28
  4. Step 4: Simplify right side
    47,678.72x = 1,740,791,661.21
  5. Step 5: Solve for x
    x = 1,740,791,661.21/47,678.72
  6. Step 6: Final answer
    x = 36,510.87

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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.