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Finding the Fourth Proportional to 97,537, 134,601.06 and 52,825

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Solution

The fourth proportional to 97,537, 134,601.06 and 52,825 is: 72,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,537 : 134,601.06 = 52,825 : x
  2. Step 2: Convert to fraction form
    97,537/134,601.06 = 52,825/x
  3. Step 3: Cross multiply
    97,537x = 134,601.06 × 52,825
  4. Step 4: Simplify right side
    97,537x = 7,110,300,994.50
  5. Step 5: Solve for x
    x = 7,110,300,994.50/97,537
  6. Step 6: Final answer
    x = 72,898.50

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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.