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Finding the Fourth Proportional to 65,117.90, 89,880.42 and 38,269.06

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Solution

The fourth proportional to 65,117.90, 89,880.42 and 38,269.06 is: 52,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.90 : 89,880.42 = 38,269.06 : x
  2. Step 2: Convert to fraction form
    65,117.90/89,880.42 = 38,269.06/x
  3. Step 3: Cross multiply
    65,117.90x = 89,880.42 × 38,269.06
  4. Step 4: Simplify right side
    65,117.90x = 3,439,639,185.81
  5. Step 5: Solve for x
    x = 3,439,639,185.81/65,117.90
  6. Step 6: Final answer
    x = 52,821.72

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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.