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Finding the Fourth Proportional to 97,807.66, 146,765.99 and 52,828.11

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Solution

The fourth proportional to 97,807.66, 146,765.99 and 52,828.11 is: 79,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.66 : 146,765.99 = 52,828.11 : x
  2. Step 2: Convert to fraction form
    97,807.66/146,765.99 = 52,828.11/x
  3. Step 3: Cross multiply
    97,807.66x = 146,765.99 × 52,828.11
  4. Step 4: Simplify right side
    97,807.66x = 7,753,369,863.98
  5. Step 5: Solve for x
    x = 7,753,369,863.98/97,807.66
  6. Step 6: Final answer
    x = 79,271.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.