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Finding the Fourth Proportional to 77,365.46, 116,054.10 and 32,992.40

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Solution

The fourth proportional to 77,365.46, 116,054.10 and 32,992.40 is: 49,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,365.46 : 116,054.10 = 32,992.40 : x
  2. Step 2: Convert to fraction form
    77,365.46/116,054.10 = 32,992.40/x
  3. Step 3: Cross multiply
    77,365.46x = 116,054.10 × 32,992.40
  4. Step 4: Simplify right side
    77,365.46x = 3,828,903,288.84
  5. Step 5: Solve for x
    x = 3,828,903,288.84/77,365.46
  6. Step 6: Final answer
    x = 49,491.12

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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.