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Finding the Fourth Proportional to 77,083.34, 106,392.15 and 46,862.25

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Solution

The fourth proportional to 77,083.34, 106,392.15 and 46,862.25 is: 64,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.34 : 106,392.15 = 46,862.25 : x
  2. Step 2: Convert to fraction form
    77,083.34/106,392.15 = 46,862.25/x
  3. Step 3: Cross multiply
    77,083.34x = 106,392.15 × 46,862.25
  4. Step 4: Simplify right side
    77,083.34x = 4,985,775,531.34
  5. Step 5: Solve for x
    x = 4,985,775,531.34/77,083.34
  6. Step 6: Final answer
    x = 64,680.33

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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.