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Finding the Fourth Proportional to 97,751, 134,897.10 and 53,039

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Solution

The fourth proportional to 97,751, 134,897.10 and 53,039 is: 73,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751 : 134,897.10 = 53,039 : x
  2. Step 2: Convert to fraction form
    97,751/134,897.10 = 53,039/x
  3. Step 3: Cross multiply
    97,751x = 134,897.10 × 53,039
  4. Step 4: Simplify right side
    97,751x = 7,154,807,286.90
  5. Step 5: Solve for x
    x = 7,154,807,286.90/97,751
  6. Step 6: Final answer
    x = 73,194.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.