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Finding the Fourth Proportional to 35,603.88, 53,406 and 9,308.68

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Solution

The fourth proportional to 35,603.88, 53,406 and 9,308.68 is: 13,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,603.88 : 53,406 = 9,308.68 : x
  2. Step 2: Convert to fraction form
    35,603.88/53,406 = 9,308.68/x
  3. Step 3: Cross multiply
    35,603.88x = 53,406 × 9,308.68
  4. Step 4: Simplify right side
    35,603.88x = 497,139,364.08
  5. Step 5: Solve for x
    x = 497,139,364.08/35,603.88
  6. Step 6: Final answer
    x = 13,963.07

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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.