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Finding the Fourth Proportional to 76,596.80, 114,848.16 and 29,795.20

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Solution

The fourth proportional to 76,596.80, 114,848.16 and 29,795.20 is: 44,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.80 : 114,848.16 = 29,795.20 : x
  2. Step 2: Convert to fraction form
    76,596.80/114,848.16 = 29,795.20/x
  3. Step 3: Cross multiply
    76,596.80x = 114,848.16 × 29,795.20
  4. Step 4: Simplify right side
    76,596.80x = 3,421,923,896.83
  5. Step 5: Solve for x
    x = 3,421,923,896.83/76,596.80
  6. Step 6: Final answer
    x = 44,674.50

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1.5x scale

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.