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Finding the Fourth Proportional to 84,137.95, 116,108.52 and 46,412.20

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Solution

The fourth proportional to 84,137.95, 116,108.52 and 46,412.20 is: 64,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,137.95 : 116,108.52 = 46,412.20 : x
  2. Step 2: Convert to fraction form
    84,137.95/116,108.52 = 46,412.20/x
  3. Step 3: Cross multiply
    84,137.95x = 116,108.52 × 46,412.20
  4. Step 4: Simplify right side
    84,137.95x = 5,388,851,851.94
  5. Step 5: Solve for x
    x = 5,388,851,851.94/84,137.95
  6. Step 6: Final answer
    x = 64,047.81

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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.