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Finding the Fourth Proportional to 89,157.40, 133,675.50 and 42,415

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Solution

The fourth proportional to 89,157.40, 133,675.50 and 42,415 is: 63,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,157.40 : 133,675.50 = 42,415 : x
  2. Step 2: Convert to fraction form
    89,157.40/133,675.50 = 42,415/x
  3. Step 3: Cross multiply
    89,157.40x = 133,675.50 × 42,415
  4. Step 4: Simplify right side
    89,157.40x = 5,669,846,332.50
  5. Step 5: Solve for x
    x = 5,669,846,332.50/89,157.40
  6. Step 6: Final answer
    x = 63,593.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.