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Finding the Fourth Proportional to 76,349.44, 114,413.64 and 52,632.64

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Solution

The fourth proportional to 76,349.44, 114,413.64 and 52,632.64 is: 78,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,349.44 : 114,413.64 = 52,632.64 : x
  2. Step 2: Convert to fraction form
    76,349.44/114,413.64 = 52,632.64/x
  3. Step 3: Cross multiply
    76,349.44x = 114,413.64 × 52,632.64
  4. Step 4: Simplify right side
    76,349.44x = 6,021,891,925.21
  5. Step 5: Solve for x
    x = 6,021,891,925.21/76,349.44
  6. Step 6: Final answer
    x = 78,872.77

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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.