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Finding the Fourth Proportional to 65,201.52, 97,802.28 and 35,603.22

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Solution

The fourth proportional to 65,201.52, 97,802.28 and 35,603.22 is: 53,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.52 : 97,802.28 = 35,603.22 : x
  2. Step 2: Convert to fraction form
    65,201.52/97,802.28 = 35,603.22/x
  3. Step 3: Cross multiply
    65,201.52x = 97,802.28 × 35,603.22
  4. Step 4: Simplify right side
    65,201.52x = 3,482,076,091.34
  5. Step 5: Solve for x
    x = 3,482,076,091.34/65,201.52
  6. Step 6: Final answer
    x = 53,404.83

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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.