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Finding the Fourth Proportional to 78,472.94, 108,256.92 and 46,623.74

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Solution

The fourth proportional to 78,472.94, 108,256.92 and 46,623.74 is: 64,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472.94 : 108,256.92 = 46,623.74 : x
  2. Step 2: Convert to fraction form
    78,472.94/108,256.92 = 46,623.74/x
  3. Step 3: Cross multiply
    78,472.94x = 108,256.92 × 46,623.74
  4. Step 4: Simplify right side
    78,472.94x = 5,047,342,491.28
  5. Step 5: Solve for x
    x = 5,047,342,491.28/78,472.94
  6. Step 6: Final answer
    x = 64,319.53

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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.