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Finding the Fourth Proportional to 77,094.65, 106,413.14 and 44,836.81

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Solution

The fourth proportional to 77,094.65, 106,413.14 and 44,836.81 is: 61,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,094.65 : 106,413.14 = 44,836.81 : x
  2. Step 2: Convert to fraction form
    77,094.65/106,413.14 = 44,836.81/x
  3. Step 3: Cross multiply
    77,094.65x = 106,413.14 × 44,836.81
  4. Step 4: Simplify right side
    77,094.65x = 4,771,225,585.74
  5. Step 5: Solve for x
    x = 4,771,225,585.74/77,094.65
  6. Step 6: Final answer
    x = 61,887.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.