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Finding the Fourth Proportional to 29,685.52, 44,528.28 and 13,258

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Solution

The fourth proportional to 29,685.52, 44,528.28 and 13,258 is: 19,887

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.52 : 44,528.28 = 13,258 : x
  2. Step 2: Convert to fraction form
    29,685.52/44,528.28 = 13,258/x
  3. Step 3: Cross multiply
    29,685.52x = 44,528.28 × 13,258
  4. Step 4: Simplify right side
    29,685.52x = 590,355,936.24
  5. Step 5: Solve for x
    x = 590,355,936.24/29,685.52
  6. Step 6: Final answer
    x = 19,887

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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.