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Finding the Fourth Proportional to 84,384.75, 116,454.60 and 46,659

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Solution

The fourth proportional to 84,384.75, 116,454.60 and 46,659 is: 64,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,384.75 : 116,454.60 = 46,659 : x
  2. Step 2: Convert to fraction form
    84,384.75/116,454.60 = 46,659/x
  3. Step 3: Cross multiply
    84,384.75x = 116,454.60 × 46,659
  4. Step 4: Simplify right side
    84,384.75x = 5,433,655,181.40
  5. Step 5: Solve for x
    x = 5,433,655,181.40/84,384.75
  6. Step 6: Final answer
    x = 64,391.44

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1.5x scale

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.