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Finding the Fourth Proportional to 100,585.83, 150,904.37 and 47,267.45

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Solution

The fourth proportional to 100,585.83, 150,904.37 and 47,267.45 is: 70,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,585.83 : 150,904.37 = 47,267.45 : x
  2. Step 2: Convert to fraction form
    100,585.83/150,904.37 = 47,267.45/x
  3. Step 3: Cross multiply
    100,585.83x = 150,904.37 × 47,267.45
  4. Step 4: Simplify right side
    100,585.83x = 7,132,864,427.42
  5. Step 5: Solve for x
    x = 7,132,864,427.42/100,585.83
  6. Step 6: Final answer
    x = 70,913.22

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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.