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Finding the Fourth Proportional to 100,526.04, 150,731.64 and 41,313

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Solution

The fourth proportional to 100,526.04, 150,731.64 and 41,313 is: 61,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,526.04 : 150,731.64 = 41,313 : x
  2. Step 2: Convert to fraction form
    100,526.04/150,731.64 = 41,313/x
  3. Step 3: Cross multiply
    100,526.04x = 150,731.64 × 41,313
  4. Step 4: Simplify right side
    100,526.04x = 6,227,176,243.32
  5. Step 5: Solve for x
    x = 6,227,176,243.32/100,526.04
  6. Step 6: Final answer
    x = 61,945.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.