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Finding the Fourth Proportional to 29,985.36, 44,962.06 and 17,509.21

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Solution

The fourth proportional to 29,985.36, 44,962.06 and 17,509.21 is: 26,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.36 : 44,962.06 = 17,509.21 : x
  2. Step 2: Convert to fraction form
    29,985.36/44,962.06 = 17,509.21/x
  3. Step 3: Cross multiply
    29,985.36x = 44,962.06 × 17,509.21
  4. Step 4: Simplify right side
    29,985.36x = 787,250,329.38
  5. Step 5: Solve for x
    x = 787,250,329.38/29,985.36
  6. Step 6: Final answer
    x = 26,254.49

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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.