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Finding the Fourth Proportional to 81,916.97, 113,056.29 and 46,113.95

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Solution

The fourth proportional to 81,916.97, 113,056.29 and 46,113.95 is: 63,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,916.97 : 113,056.29 = 46,113.95 : x
  2. Step 2: Convert to fraction form
    81,916.97/113,056.29 = 46,113.95/x
  3. Step 3: Cross multiply
    81,916.97x = 113,056.29 × 46,113.95
  4. Step 4: Simplify right side
    81,916.97x = 5,213,472,386.89
  5. Step 5: Solve for x
    x = 5,213,472,386.89/81,916.97
  6. Step 6: Final answer
    x = 63,643.38

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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.