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Finding the Fourth Proportional to 76,590.79, 114,860.67 and 32,209.27

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Solution

The fourth proportional to 76,590.79, 114,860.67 and 32,209.27 is: 48,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,590.79 : 114,860.67 = 32,209.27 : x
  2. Step 2: Convert to fraction form
    76,590.79/114,860.67 = 32,209.27/x
  3. Step 3: Cross multiply
    76,590.79x = 114,860.67 × 32,209.27
  4. Step 4: Simplify right side
    76,590.79x = 3,699,578,332.41
  5. Step 5: Solve for x
    x = 3,699,578,332.41/76,590.79
  6. Step 6: Final answer
    x = 48,303.17

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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.