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Finding the Fourth Proportional to 57,098.34, 85,648.05 and 25,509.99

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Solution

The fourth proportional to 57,098.34, 85,648.05 and 25,509.99 is: 38,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.34 : 85,648.05 = 25,509.99 : x
  2. Step 2: Convert to fraction form
    57,098.34/85,648.05 = 25,509.99/x
  3. Step 3: Cross multiply
    57,098.34x = 85,648.05 × 25,509.99
  4. Step 4: Simplify right side
    57,098.34x = 2,184,880,899.02
  5. Step 5: Solve for x
    x = 2,184,880,899.02/57,098.34
  6. Step 6: Final answer
    x = 38,265.23

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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.