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Finding the Fourth Proportional to 97,600.50, 134,688.70 and 52,888.50

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Solution

The fourth proportional to 97,600.50, 134,688.70 and 52,888.50 is: 72,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,600.50 : 134,688.70 = 52,888.50 : x
  2. Step 2: Convert to fraction form
    97,600.50/134,688.70 = 52,888.50/x
  3. Step 3: Cross multiply
    97,600.50x = 134,688.70 × 52,888.50
  4. Step 4: Simplify right side
    97,600.50x = 7,123,483,309.95
  5. Step 5: Solve for x
    x = 7,123,483,309.95/97,600.50
  6. Step 6: Final answer
    x = 72,986.14

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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.