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Finding the Fourth Proportional to 97,527.84, 146,291.76 and 34,333.08

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Solution

The fourth proportional to 97,527.84, 146,291.76 and 34,333.08 is: 51,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,527.84 : 146,291.76 = 34,333.08 : x
  2. Step 2: Convert to fraction form
    97,527.84/146,291.76 = 34,333.08/x
  3. Step 3: Cross multiply
    97,527.84x = 146,291.76 × 34,333.08
  4. Step 4: Simplify right side
    97,527.84x = 5,022,646,699.42
  5. Step 5: Solve for x
    x = 5,022,646,699.42/97,527.84
  6. Step 6: Final answer
    x = 51,499.62

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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.