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Finding the Fourth Proportional to 58,651.82, 87,970.80 and 16,535.06

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Solution

The fourth proportional to 58,651.82, 87,970.80 and 16,535.06 is: 24,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,651.82 : 87,970.80 = 16,535.06 : x
  2. Step 2: Convert to fraction form
    58,651.82/87,970.80 = 16,535.06/x
  3. Step 3: Cross multiply
    58,651.82x = 87,970.80 × 16,535.06
  4. Step 4: Simplify right side
    58,651.82x = 1,454,602,456.25
  5. Step 5: Solve for x
    x = 1,454,602,456.25/58,651.82
  6. Step 6: Final answer
    x = 24,800.64

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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.