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Finding the Fourth Proportional to 73,835, 101,894.50 and 40,303.16

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Solution

The fourth proportional to 73,835, 101,894.50 and 40,303.16 is: 55,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,835 : 101,894.50 = 40,303.16 : x
  2. Step 2: Convert to fraction form
    73,835/101,894.50 = 40,303.16/x
  3. Step 3: Cross multiply
    73,835x = 101,894.50 × 40,303.16
  4. Step 4: Simplify right side
    73,835x = 4,106,670,336.62
  5. Step 5: Solve for x
    x = 4,106,670,336.62/73,835
  6. Step 6: Final answer
    x = 55,619.56

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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.