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Finding the Fourth Proportional to 65,328.34, 90,151.50 and 38,109.64

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Solution

The fourth proportional to 65,328.34, 90,151.50 and 38,109.64 is: 52,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,328.34 : 90,151.50 = 38,109.64 : x
  2. Step 2: Convert to fraction form
    65,328.34/90,151.50 = 38,109.64/x
  3. Step 3: Cross multiply
    65,328.34x = 90,151.50 × 38,109.64
  4. Step 4: Simplify right side
    65,328.34x = 3,435,641,210.46
  5. Step 5: Solve for x
    x = 3,435,641,210.46/65,328.34
  6. Step 6: Final answer
    x = 52,590.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.