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Finding the Fourth Proportional to 77,359.93, 116,045.84 and 32,986.92

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Solution

The fourth proportional to 77,359.93, 116,045.84 and 32,986.92 is: 49,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,359.93 : 116,045.84 = 32,986.92 : x
  2. Step 2: Convert to fraction form
    77,359.93/116,045.84 = 32,986.92/x
  3. Step 3: Cross multiply
    77,359.93x = 116,045.84 × 32,986.92
  4. Step 4: Simplify right side
    77,359.93x = 3,827,994,840.41
  5. Step 5: Solve for x
    x = 3,827,994,840.41/77,359.93
  6. Step 6: Final answer
    x = 49,482.91

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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.