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Finding the Fourth Proportional to 97,678.75, 134,796.74 and 52,966.75

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Solution

The fourth proportional to 97,678.75, 134,796.74 and 52,966.75 is: 73,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,678.75 : 134,796.74 = 52,966.75 : x
  2. Step 2: Convert to fraction form
    97,678.75/134,796.74 = 52,966.75/x
  3. Step 3: Cross multiply
    97,678.75x = 134,796.74 × 52,966.75
  4. Step 4: Simplify right side
    97,678.75x = 7,139,745,228.40
  5. Step 5: Solve for x
    x = 7,139,745,228.40/97,678.75
  6. Step 6: Final answer
    x = 73,094.15

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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.