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Finding the Fourth Proportional to 76,498.65, 114,650.78 and 36,970.65

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Solution

The fourth proportional to 76,498.65, 114,650.78 and 36,970.65 is: 55,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.65 : 114,650.78 = 36,970.65 : x
  2. Step 2: Convert to fraction form
    76,498.65/114,650.78 = 36,970.65/x
  3. Step 3: Cross multiply
    76,498.65x = 114,650.78 × 36,970.65
  4. Step 4: Simplify right side
    76,498.65x = 4,238,713,674.75
  5. Step 5: Solve for x
    x = 4,238,713,674.75/76,498.65
  6. Step 6: Final answer
    x = 55,409.00

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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.