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Finding the Fourth Proportional to 78,471.94, 108,255.54 and 46,622.74

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Solution

The fourth proportional to 78,471.94, 108,255.54 and 46,622.74 is: 64,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.94 : 108,255.54 = 46,622.74 : x
  2. Step 2: Convert to fraction form
    78,471.94/108,255.54 = 46,622.74/x
  3. Step 3: Cross multiply
    78,471.94x = 108,255.54 × 46,622.74
  4. Step 4: Simplify right side
    78,471.94x = 5,047,169,894.98
  5. Step 5: Solve for x
    x = 5,047,169,894.98/78,471.94
  6. Step 6: Final answer
    x = 64,318.15

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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.