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Finding the Fourth Proportional to 58,496.64, 87,746.88 and 16,944

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Solution

The fourth proportional to 58,496.64, 87,746.88 and 16,944 is: 25,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,496.64 : 87,746.88 = 16,944 : x
  2. Step 2: Convert to fraction form
    58,496.64/87,746.88 = 16,944/x
  3. Step 3: Cross multiply
    58,496.64x = 87,746.88 × 16,944
  4. Step 4: Simplify right side
    58,496.64x = 1,486,783,134.72
  5. Step 5: Solve for x
    x = 1,486,783,134.72/58,496.64
  6. Step 6: Final answer
    x = 25,416.56

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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.