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Finding the Fourth Proportional to 64,953.39, 97,430.85 and 22,834.71

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Solution

The fourth proportional to 64,953.39, 97,430.85 and 22,834.71 is: 34,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953.39 : 97,430.85 = 22,834.71 : x
  2. Step 2: Convert to fraction form
    64,953.39/97,430.85 = 22,834.71/x
  3. Step 3: Cross multiply
    64,953.39x = 97,430.85 × 22,834.71
  4. Step 4: Simplify right side
    64,953.39x = 2,224,805,204.80
  5. Step 5: Solve for x
    x = 2,224,805,204.80/64,953.39
  6. Step 6: Final answer
    x = 34,252.33

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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.