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Finding the Fourth Proportional to 78,824.94, 108,740.94 and 46,537.93

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Solution

The fourth proportional to 78,824.94, 108,740.94 and 46,537.93 is: 64,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.94 : 108,740.94 = 46,537.93 : x
  2. Step 2: Convert to fraction form
    78,824.94/108,740.94 = 46,537.93/x
  3. Step 3: Cross multiply
    78,824.94x = 108,740.94 × 46,537.93
  4. Step 4: Simplify right side
    78,824.94x = 5,060,578,253.85
  5. Step 5: Solve for x
    x = 5,060,578,253.85/78,824.94
  6. Step 6: Final answer
    x = 64,200.22

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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.