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Finding the Fourth Proportional to 58,535.81, 87,793.80 and 16,406.19

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Solution

The fourth proportional to 58,535.81, 87,793.80 and 16,406.19 is: 24,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,535.81 : 87,793.80 = 16,406.19 : x
  2. Step 2: Convert to fraction form
    58,535.81/87,793.80 = 16,406.19/x
  3. Step 3: Cross multiply
    58,535.81x = 87,793.80 × 16,406.19
  4. Step 4: Simplify right side
    58,535.81x = 1,440,361,434.40
  5. Step 5: Solve for x
    x = 1,440,361,434.40/58,535.81
  6. Step 6: Final answer
    x = 24,606.50

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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.