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Finding the Fourth Proportional to 84,199.56, 116,194.65 and 46,473

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Solution

The fourth proportional to 84,199.56, 116,194.65 and 46,473 is: 64,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,199.56 : 116,194.65 = 46,473 : x
  2. Step 2: Convert to fraction form
    84,199.56/116,194.65 = 46,473/x
  3. Step 3: Cross multiply
    84,199.56x = 116,194.65 × 46,473
  4. Step 4: Simplify right side
    84,199.56x = 5,399,913,969.45
  5. Step 5: Solve for x
    x = 5,399,913,969.45/84,199.56
  6. Step 6: Final answer
    x = 64,132.33

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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.