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Finding the Fourth Proportional to 100,580.93, 150,899.64 and 29,505.25

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Solution

The fourth proportional to 100,580.93, 150,899.64 and 29,505.25 is: 44,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.93 : 150,899.64 = 29,505.25 : x
  2. Step 2: Convert to fraction form
    100,580.93/150,899.64 = 29,505.25/x
  3. Step 3: Cross multiply
    100,580.93x = 150,899.64 × 29,505.25
  4. Step 4: Simplify right side
    100,580.93x = 4,452,331,603.11
  5. Step 5: Solve for x
    x = 4,452,331,603.11/100,580.93
  6. Step 6: Final answer
    x = 44,266.16

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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.