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Finding the Fourth Proportional to 58,202.80, 87,312.30 and 23,134.30

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Solution

The fourth proportional to 58,202.80, 87,312.30 and 23,134.30 is: 34,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,202.80 : 87,312.30 = 23,134.30 : x
  2. Step 2: Convert to fraction form
    58,202.80/87,312.30 = 23,134.30/x
  3. Step 3: Cross multiply
    58,202.80x = 87,312.30 × 23,134.30
  4. Step 4: Simplify right side
    58,202.80x = 2,019,908,941.89
  5. Step 5: Solve for x
    x = 2,019,908,941.89/58,202.80
  6. Step 6: Final answer
    x = 34,704.67

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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.