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Finding the Fourth Proportional to 29,973.50, 44,962.41 and 11,505.50

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Solution

The fourth proportional to 29,973.50, 44,962.41 and 11,505.50 is: 17,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,973.50 : 44,962.41 = 11,505.50 : x
  2. Step 2: Convert to fraction form
    29,973.50/44,962.41 = 11,505.50/x
  3. Step 3: Cross multiply
    29,973.50x = 44,962.41 × 11,505.50
  4. Step 4: Simplify right side
    29,973.50x = 517,315,008.26
  5. Step 5: Solve for x
    x = 517,315,008.26/29,973.50
  6. Step 6: Final answer
    x = 17,259.08

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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.