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Finding the Fourth Proportional to 77,081.09, 106,389.05 and 46,860

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Solution

The fourth proportional to 77,081.09, 106,389.05 and 46,860 is: 64,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,081.09 : 106,389.05 = 46,860 : x
  2. Step 2: Convert to fraction form
    77,081.09/106,389.05 = 46,860/x
  3. Step 3: Cross multiply
    77,081.09x = 106,389.05 × 46,860
  4. Step 4: Simplify right side
    77,081.09x = 4,985,390,648.70
  5. Step 5: Solve for x
    x = 4,985,390,648.70/77,081.09
  6. Step 6: Final answer
    x = 64,677.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.