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Finding the Fourth Proportional to 76,357.46, 114,508.74 and 26,424.00

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Solution

The fourth proportional to 76,357.46, 114,508.74 and 26,424.00 is: 39,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.46 : 114,508.74 = 26,424.00 : x
  2. Step 2: Convert to fraction form
    76,357.46/114,508.74 = 26,424.00/x
  3. Step 3: Cross multiply
    76,357.46x = 114,508.74 × 26,424.00
  4. Step 4: Simplify right side
    76,357.46x = 3,025,778,373.22
  5. Step 5: Solve for x
    x = 3,025,778,373.22/76,357.46
  6. Step 6: Final answer
    x = 39,626.50

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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.