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Finding the Fourth Proportional to 35,606.40, 53,410.68 and 12,232.50

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Solution

The fourth proportional to 35,606.40, 53,410.68 and 12,232.50 is: 18,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,606.40 : 53,410.68 = 12,232.50 : x
  2. Step 2: Convert to fraction form
    35,606.40/53,410.68 = 12,232.50/x
  3. Step 3: Cross multiply
    35,606.40x = 53,410.68 × 12,232.50
  4. Step 4: Simplify right side
    35,606.40x = 653,346,143.10
  5. Step 5: Solve for x
    x = 653,346,143.10/35,606.40
  6. Step 6: Final answer
    x = 18,349.12

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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.