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Finding the Fourth Proportional to 79,969, 119,953.50 and 24,565

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Solution

The fourth proportional to 79,969, 119,953.50 and 24,565 is: 36,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,969 : 119,953.50 = 24,565 : x
  2. Step 2: Convert to fraction form
    79,969/119,953.50 = 24,565/x
  3. Step 3: Cross multiply
    79,969x = 119,953.50 × 24,565
  4. Step 4: Simplify right side
    79,969x = 2,946,657,727.50
  5. Step 5: Solve for x
    x = 2,946,657,727.50/79,969
  6. Step 6: Final answer
    x = 36,847.50

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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.