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Finding the Fourth Proportional to 97,522.50, 134,581.05 and 52,810.50

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Solution

The fourth proportional to 97,522.50, 134,581.05 and 52,810.50 is: 72,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,522.50 : 134,581.05 = 52,810.50 : x
  2. Step 2: Convert to fraction form
    97,522.50/134,581.05 = 52,810.50/x
  3. Step 3: Cross multiply
    97,522.50x = 134,581.05 × 52,810.50
  4. Step 4: Simplify right side
    97,522.50x = 7,107,292,541.03
  5. Step 5: Solve for x
    x = 7,107,292,541.03/97,522.50
  6. Step 6: Final answer
    x = 72,878.49

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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.