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Finding the Fourth Proportional to 101,267.58, 151,903.80 and 31,147.50

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Solution

The fourth proportional to 101,267.58, 151,903.80 and 31,147.50 is: 46,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,267.58 : 151,903.80 = 31,147.50 : x
  2. Step 2: Convert to fraction form
    101,267.58/151,903.80 = 31,147.50/x
  3. Step 3: Cross multiply
    101,267.58x = 151,903.80 × 31,147.50
  4. Step 4: Simplify right side
    101,267.58x = 4,731,423,610.50
  5. Step 5: Solve for x
    x = 4,731,423,610.50/101,267.58
  6. Step 6: Final answer
    x = 46,722.00

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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.