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Finding the Fourth Proportional to 78,030.94, 107,682.57 and 44,046.58

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Solution

The fourth proportional to 78,030.94, 107,682.57 and 44,046.58 is: 60,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,030.94 : 107,682.57 = 44,046.58 : x
  2. Step 2: Convert to fraction form
    78,030.94/107,682.57 = 44,046.58/x
  3. Step 3: Cross multiply
    78,030.94x = 107,682.57 × 44,046.58
  4. Step 4: Simplify right side
    78,030.94x = 4,743,048,934.11
  5. Step 5: Solve for x
    x = 4,743,048,934.11/78,030.94
  6. Step 6: Final answer
    x = 60,784.21

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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.