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Finding the Fourth Proportional to 97,564.60, 146,280.30 and 51,979.10

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Solution

The fourth proportional to 97,564.60, 146,280.30 and 51,979.10 is: 77,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,564.60 : 146,280.30 = 51,979.10 : x
  2. Step 2: Convert to fraction form
    97,564.60/146,280.30 = 51,979.10/x
  3. Step 3: Cross multiply
    97,564.60x = 146,280.30 × 51,979.10
  4. Step 4: Simplify right side
    97,564.60x = 7,603,518,341.73
  5. Step 5: Solve for x
    x = 7,603,518,341.73/97,564.60
  6. Step 6: Final answer
    x = 77,933.17

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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.