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Finding the Fourth Proportional to 73,784.81, 110,698.47 and 36,356.13

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Solution

The fourth proportional to 73,784.81, 110,698.47 and 36,356.13 is: 54,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.81 : 110,698.47 = 36,356.13 : x
  2. Step 2: Convert to fraction form
    73,784.81/110,698.47 = 36,356.13/x
  3. Step 3: Cross multiply
    73,784.81x = 110,698.47 × 36,356.13
  4. Step 4: Simplify right side
    73,784.81x = 4,024,567,966.12
  5. Step 5: Solve for x
    x = 4,024,567,966.12/73,784.81
  6. Step 6: Final answer
    x = 54,544.67

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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.