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Finding the Fourth Proportional to 97,499.84, 146,271.84 and 30,944

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Solution

The fourth proportional to 97,499.84, 146,271.84 and 30,944 is: 46,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,499.84 : 146,271.84 = 30,944 : x
  2. Step 2: Convert to fraction form
    97,499.84/146,271.84 = 30,944/x
  3. Step 3: Cross multiply
    97,499.84x = 146,271.84 × 30,944
  4. Step 4: Simplify right side
    97,499.84x = 4,526,235,816.96
  5. Step 5: Solve for x
    x = 4,526,235,816.96/97,499.84
  6. Step 6: Final answer
    x = 46,423.01

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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.