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Finding the Fourth Proportional to 84,096.84, 116,055 and 46,368.84

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Solution

The fourth proportional to 84,096.84, 116,055 and 46,368.84 is: 63,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096.84 : 116,055 = 46,368.84 : x
  2. Step 2: Convert to fraction form
    84,096.84/116,055 = 46,368.84/x
  3. Step 3: Cross multiply
    84,096.84x = 116,055 × 46,368.84
  4. Step 4: Simplify right side
    84,096.84x = 5,381,335,726.20
  5. Step 5: Solve for x
    x = 5,381,335,726.20/84,096.84
  6. Step 6: Final answer
    x = 63,989.75

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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.