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Finding the Fourth Proportional to 47,430.38, 65,457.81 and 26,210

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Solution

The fourth proportional to 47,430.38, 65,457.81 and 26,210 is: 36,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430.38 : 65,457.81 = 26,210 : x
  2. Step 2: Convert to fraction form
    47,430.38/65,457.81 = 26,210/x
  3. Step 3: Cross multiply
    47,430.38x = 65,457.81 × 26,210
  4. Step 4: Simplify right side
    47,430.38x = 1,715,649,200.10
  5. Step 5: Solve for x
    x = 1,715,649,200.10/47,430.38
  6. Step 6: Final answer
    x = 36,171.95

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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.