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Finding the Fourth Proportional to 84,094.56, 116,049.78 and 46,368

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Solution

The fourth proportional to 84,094.56, 116,049.78 and 46,368 is: 63,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,094.56 : 116,049.78 = 46,368 : x
  2. Step 2: Convert to fraction form
    84,094.56/116,049.78 = 46,368/x
  3. Step 3: Cross multiply
    84,094.56x = 116,049.78 × 46,368
  4. Step 4: Simplify right side
    84,094.56x = 5,380,996,199.04
  5. Step 5: Solve for x
    x = 5,380,996,199.04/84,094.56
  6. Step 6: Final answer
    x = 63,987.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.