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Finding the Fourth Proportional to 97,774.48, 146,638.23 and 45,133.39

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Solution

The fourth proportional to 97,774.48, 146,638.23 and 45,133.39 is: 67,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,774.48 : 146,638.23 = 45,133.39 : x
  2. Step 2: Convert to fraction form
    97,774.48/146,638.23 = 45,133.39/x
  3. Step 3: Cross multiply
    97,774.48x = 146,638.23 × 45,133.39
  4. Step 4: Simplify right side
    97,774.48x = 6,618,280,423.50
  5. Step 5: Solve for x
    x = 6,618,280,423.50/97,774.48
  6. Step 6: Final answer
    x = 67,689.24

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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.