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Finding the Fourth Proportional to 35,533.50, 53,300.52 and 12,160.14

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Solution

The fourth proportional to 35,533.50, 53,300.52 and 12,160.14 is: 18,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533.50 : 53,300.52 = 12,160.14 : x
  2. Step 2: Convert to fraction form
    35,533.50/53,300.52 = 12,160.14/x
  3. Step 3: Cross multiply
    35,533.50x = 53,300.52 × 12,160.14
  4. Step 4: Simplify right side
    35,533.50x = 648,141,785.27
  5. Step 5: Solve for x
    x = 648,141,785.27/35,533.50
  6. Step 6: Final answer
    x = 18,240.30

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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.