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Finding the Fourth Proportional to 52,393.86, 78,528.02 and 24,275.79

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Solution

The fourth proportional to 52,393.86, 78,528.02 and 24,275.79 is: 36,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,393.86 : 78,528.02 = 24,275.79 : x
  2. Step 2: Convert to fraction form
    52,393.86/78,528.02 = 24,275.79/x
  3. Step 3: Cross multiply
    52,393.86x = 78,528.02 × 24,275.79
  4. Step 4: Simplify right side
    52,393.86x = 1,906,329,601.26
  5. Step 5: Solve for x
    x = 1,906,329,601.26/52,393.86
  6. Step 6: Final answer
    x = 36,384.60

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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.