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Finding the Fourth Proportional to 35,660.13, 53,461.04 and 13,460.87

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Solution

The fourth proportional to 35,660.13, 53,461.04 and 13,460.87 is: 20,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660.13 : 53,461.04 = 13,460.87 : x
  2. Step 2: Convert to fraction form
    35,660.13/53,461.04 = 13,460.87/x
  3. Step 3: Cross multiply
    35,660.13x = 53,461.04 × 13,460.87
  4. Step 4: Simplify right side
    35,660.13x = 719,631,774.90
  5. Step 5: Solve for x
    x = 719,631,774.90/35,660.13
  6. Step 6: Final answer
    x = 20,180.29

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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.