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Finding the Fourth Proportional to 97,553.32, 146,314.68 and 30,984.67

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Solution

The fourth proportional to 97,553.32, 146,314.68 and 30,984.67 is: 46,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553.32 : 146,314.68 = 30,984.67 : x
  2. Step 2: Convert to fraction form
    97,553.32/146,314.68 = 30,984.67/x
  3. Step 3: Cross multiply
    97,553.32x = 146,314.68 × 30,984.67
  4. Step 4: Simplify right side
    97,553.32x = 4,533,512,075.96
  5. Step 5: Solve for x
    x = 4,533,512,075.96/97,553.32
  6. Step 6: Final answer
    x = 46,472.15

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Why These Related Problems?

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