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Finding the Fourth Proportional to 29,762.34, 44,617.88 and 13,109.70

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Solution

The fourth proportional to 29,762.34, 44,617.88 and 13,109.70 is: 19,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.34 : 44,617.88 = 13,109.70 : x
  2. Step 2: Convert to fraction form
    29,762.34/44,617.88 = 13,109.70/x
  3. Step 3: Cross multiply
    29,762.34x = 44,617.88 × 13,109.70
  4. Step 4: Simplify right side
    29,762.34x = 584,926,878.37
  5. Step 5: Solve for x
    x = 584,926,878.37/29,762.34
  6. Step 6: Final answer
    x = 19,653.26

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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.