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Finding the Fourth Proportional to 29,497.50, 44,256.78 and 13,710.06

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Solution

The fourth proportional to 29,497.50, 44,256.78 and 13,710.06 is: 20,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497.50 : 44,256.78 = 13,710.06 : x
  2. Step 2: Convert to fraction form
    29,497.50/44,256.78 = 13,710.06/x
  3. Step 3: Cross multiply
    29,497.50x = 44,256.78 × 13,710.06
  4. Step 4: Simplify right side
    29,497.50x = 606,763,109.21
  5. Step 5: Solve for x
    x = 606,763,109.21/29,497.50
  6. Step 6: Final answer
    x = 20,569.98

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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.