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Finding the Fourth Proportional to 102,591.81, 153,834.12 and 46,405.08

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Solution

The fourth proportional to 102,591.81, 153,834.12 and 46,405.08 is: 69,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,591.81 : 153,834.12 = 46,405.08 : x
  2. Step 2: Convert to fraction form
    102,591.81/153,834.12 = 46,405.08/x
  3. Step 3: Cross multiply
    102,591.81x = 153,834.12 × 46,405.08
  4. Step 4: Simplify right side
    102,591.81x = 7,138,684,645.33
  5. Step 5: Solve for x
    x = 7,138,684,645.33/102,591.81
  6. Step 6: Final answer
    x = 69,583.38

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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.