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Finding the Fourth Proportional to 57,225.48, 85,838.22 and 17,772

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Solution

The fourth proportional to 57,225.48, 85,838.22 and 17,772 is: 26,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.48 : 85,838.22 = 17,772 : x
  2. Step 2: Convert to fraction form
    57,225.48/85,838.22 = 17,772/x
  3. Step 3: Cross multiply
    57,225.48x = 85,838.22 × 17,772
  4. Step 4: Simplify right side
    57,225.48x = 1,525,516,845.84
  5. Step 5: Solve for x
    x = 1,525,516,845.84/57,225.48
  6. Step 6: Final answer
    x = 26,658.00

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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.