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Finding the Fourth Proportional to 84,258.63, 116,329.50 and 53,649

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Solution

The fourth proportional to 84,258.63, 116,329.50 and 53,649 is: 74,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,258.63 : 116,329.50 = 53,649 : x
  2. Step 2: Convert to fraction form
    84,258.63/116,329.50 = 53,649/x
  3. Step 3: Cross multiply
    84,258.63x = 116,329.50 × 53,649
  4. Step 4: Simplify right side
    84,258.63x = 6,240,961,345.50
  5. Step 5: Solve for x
    x = 6,240,961,345.50/84,258.63
  6. Step 6: Final answer
    x = 74,069.11

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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.