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Finding the Fourth Proportional to 65,225.40, 97,838.70 and 34,121.40

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Solution

The fourth proportional to 65,225.40, 97,838.70 and 34,121.40 is: 51,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.40 : 97,838.70 = 34,121.40 : x
  2. Step 2: Convert to fraction form
    65,225.40/97,838.70 = 34,121.40/x
  3. Step 3: Cross multiply
    65,225.40x = 97,838.70 × 34,121.40
  4. Step 4: Simplify right side
    65,225.40x = 3,338,393,418.18
  5. Step 5: Solve for x
    x = 3,338,393,418.18/65,225.40
  6. Step 6: Final answer
    x = 51,182.41

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1.5x scale

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.