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Finding the Fourth Proportional to 84,642.84, 116,811 and 46,914.66

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Solution

The fourth proportional to 84,642.84, 116,811 and 46,914.66 is: 64,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.84 : 116,811 = 46,914.66 : x
  2. Step 2: Convert to fraction form
    84,642.84/116,811 = 46,914.66/x
  3. Step 3: Cross multiply
    84,642.84x = 116,811 × 46,914.66
  4. Step 4: Simplify right side
    84,642.84x = 5,480,148,349.26
  5. Step 5: Solve for x
    x = 5,480,148,349.26/84,642.84
  6. Step 6: Final answer
    x = 64,744.38

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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.