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Finding the Fourth Proportional to 58,657.42, 87,984.87 and 14,284.42

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Solution

The fourth proportional to 58,657.42, 87,984.87 and 14,284.42 is: 21,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,657.42 : 87,984.87 = 14,284.42 : x
  2. Step 2: Convert to fraction form
    58,657.42/87,984.87 = 14,284.42/x
  3. Step 3: Cross multiply
    58,657.42x = 87,984.87 × 14,284.42
  4. Step 4: Simplify right side
    58,657.42x = 1,256,812,836.73
  5. Step 5: Solve for x
    x = 1,256,812,836.73/58,657.42
  6. Step 6: Final answer
    x = 21,426.32

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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.