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Finding the Fourth Proportional to 57,316.48, 85,960.14 and 22,237

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Solution

The fourth proportional to 57,316.48, 85,960.14 and 22,237 is: 33,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316.48 : 85,960.14 = 22,237 : x
  2. Step 2: Convert to fraction form
    57,316.48/85,960.14 = 22,237/x
  3. Step 3: Cross multiply
    57,316.48x = 85,960.14 × 22,237
  4. Step 4: Simplify right side
    57,316.48x = 1,911,495,633.18
  5. Step 5: Solve for x
    x = 1,911,495,633.18/57,316.48
  6. Step 6: Final answer
    x = 33,349.84

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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.