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Finding the Fourth Proportional to 29,686.02, 44,529.03 and 13,258.50

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Solution

The fourth proportional to 29,686.02, 44,529.03 and 13,258.50 is: 19,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.02 : 44,529.03 = 13,258.50 : x
  2. Step 2: Convert to fraction form
    29,686.02/44,529.03 = 13,258.50/x
  3. Step 3: Cross multiply
    29,686.02x = 44,529.03 × 13,258.50
  4. Step 4: Simplify right side
    29,686.02x = 590,388,144.26
  5. Step 5: Solve for x
    x = 590,388,144.26/29,686.02
  6. Step 6: Final answer
    x = 19,887.75

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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.