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Finding the Fourth Proportional to 78,244.74, 107,961.12 and 46,423.98

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Solution

The fourth proportional to 78,244.74, 107,961.12 and 46,423.98 is: 64,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,244.74 : 107,961.12 = 46,423.98 : x
  2. Step 2: Convert to fraction form
    78,244.74/107,961.12 = 46,423.98/x
  3. Step 3: Cross multiply
    78,244.74x = 107,961.12 × 46,423.98
  4. Step 4: Simplify right side
    78,244.74x = 5,011,984,875.66
  5. Step 5: Solve for x
    x = 5,011,984,875.66/78,244.74
  6. Step 6: Final answer
    x = 64,055.23

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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.