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Finding the Fourth Proportional to 76,507.20, 114,663.06 and 61,723.08

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Solution

The fourth proportional to 76,507.20, 114,663.06 and 61,723.08 is: 92,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.20 : 114,663.06 = 61,723.08 : x
  2. Step 2: Convert to fraction form
    76,507.20/114,663.06 = 61,723.08/x
  3. Step 3: Cross multiply
    76,507.20x = 114,663.06 × 61,723.08
  4. Step 4: Simplify right side
    76,507.20x = 7,077,357,225.42
  5. Step 5: Solve for x
    x = 7,077,357,225.42/76,507.20
  6. Step 6: Final answer
    x = 92,505.77

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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.