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Finding the Fourth Proportional to 35,603.52, 53,412.82 and 13,416.42

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Solution

The fourth proportional to 35,603.52, 53,412.82 and 13,416.42 is: 20,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,603.52 : 53,412.82 = 13,416.42 : x
  2. Step 2: Convert to fraction form
    35,603.52/53,412.82 = 13,416.42/x
  3. Step 3: Cross multiply
    35,603.52x = 53,412.82 × 13,416.42
  4. Step 4: Simplify right side
    35,603.52x = 716,608,826.50
  5. Step 5: Solve for x
    x = 716,608,826.50/35,603.52
  6. Step 6: Final answer
    x = 20,127.47

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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.