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Finding the Fourth Proportional to 32,024, 48,037.76 and 13,305.93

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Solution

The fourth proportional to 32,024, 48,037.76 and 13,305.93 is: 19,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024 : 48,037.76 = 13,305.93 : x
  2. Step 2: Convert to fraction form
    32,024/48,037.76 = 13,305.93/x
  3. Step 3: Cross multiply
    32,024x = 48,037.76 × 13,305.93
  4. Step 4: Simplify right side
    32,024x = 639,187,071.92
  5. Step 5: Solve for x
    x = 639,187,071.92/32,024
  6. Step 6: Final answer
    x = 19,959.63

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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.