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Finding the Fourth Proportional to 77,068.58, 106,387.34 and 46,863.50

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Solution

The fourth proportional to 77,068.58, 106,387.34 and 46,863.50 is: 64,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,068.58 : 106,387.34 = 46,863.50 : x
  2. Step 2: Convert to fraction form
    77,068.58/106,387.34 = 46,863.50/x
  3. Step 3: Cross multiply
    77,068.58x = 106,387.34 × 46,863.50
  4. Step 4: Simplify right side
    77,068.58x = 4,985,682,341.84
  5. Step 5: Solve for x
    x = 4,985,682,341.84/77,068.58
  6. Step 6: Final answer
    x = 64,691.51

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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.