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Finding the Fourth Proportional to 97,509.71, 146,247.83 and 30,935.00

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Solution

The fourth proportional to 97,509.71, 146,247.83 and 30,935.00 is: 46,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,509.71 : 146,247.83 = 30,935.00 : x
  2. Step 2: Convert to fraction form
    97,509.71/146,247.83 = 30,935.00/x
  3. Step 3: Cross multiply
    97,509.71x = 146,247.83 × 30,935.00
  4. Step 4: Simplify right side
    97,509.71x = 4,524,175,967.15
  5. Step 5: Solve for x
    x = 4,524,175,967.15/97,509.71
  6. Step 6: Final answer
    x = 46,397.19

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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.