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Finding the Fourth Proportional to 59,784.91, 89,682.86 and 15,411.83

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Solution

The fourth proportional to 59,784.91, 89,682.86 and 15,411.83 is: 23,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784.91 : 89,682.86 = 15,411.83 : x
  2. Step 2: Convert to fraction form
    59,784.91/89,682.86 = 15,411.83/x
  3. Step 3: Cross multiply
    59,784.91x = 89,682.86 × 15,411.83
  4. Step 4: Simplify right side
    59,784.91x = 1,382,176,582.35
  5. Step 5: Solve for x
    x = 1,382,176,582.35/59,784.91
  6. Step 6: Final answer
    x = 23,119.16

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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.