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Finding the Fourth Proportional to 78,803.50, 108,733.98 and 46,975.36

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Solution

The fourth proportional to 78,803.50, 108,733.98 and 46,975.36 is: 64,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,803.50 : 108,733.98 = 46,975.36 : x
  2. Step 2: Convert to fraction form
    78,803.50/108,733.98 = 46,975.36/x
  3. Step 3: Cross multiply
    78,803.50x = 108,733.98 × 46,975.36
  4. Step 4: Simplify right side
    78,803.50x = 5,107,817,854.73
  5. Step 5: Solve for x
    x = 5,107,817,854.73/78,803.50
  6. Step 6: Final answer
    x = 64,817.14

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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.