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Finding the Fourth Proportional to 84,041.88, 115,977.56 and 46,316.12

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Solution

The fourth proportional to 84,041.88, 115,977.56 and 46,316.12 is: 63,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,041.88 : 115,977.56 = 46,316.12 : x
  2. Step 2: Convert to fraction form
    84,041.88/115,977.56 = 46,316.12/x
  3. Step 3: Cross multiply
    84,041.88x = 115,977.56 × 46,316.12
  4. Step 4: Simplify right side
    84,041.88x = 5,371,630,586.27
  5. Step 5: Solve for x
    x = 5,371,630,586.27/84,041.88
  6. Step 6: Final answer
    x = 63,916.12

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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.