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Finding the Fourth Proportional to 84,041.53, 115,977.31 and 46,315.78

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Solution

The fourth proportional to 84,041.53, 115,977.31 and 46,315.78 is: 63,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,041.53 : 115,977.31 = 46,315.78 : x
  2. Step 2: Convert to fraction form
    84,041.53/115,977.31 = 46,315.78/x
  3. Step 3: Cross multiply
    84,041.53x = 115,977.31 × 46,315.78
  4. Step 4: Simplify right side
    84,041.53x = 5,371,579,169.22
  5. Step 5: Solve for x
    x = 5,371,579,169.22/84,041.53
  6. Step 6: Final answer
    x = 63,915.77

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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.