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Finding the Fourth Proportional to 32,495.84, 48,738 and 11,719.52

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Solution

The fourth proportional to 32,495.84, 48,738 and 11,719.52 is: 17,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.84 : 48,738 = 11,719.52 : x
  2. Step 2: Convert to fraction form
    32,495.84/48,738 = 11,719.52/x
  3. Step 3: Cross multiply
    32,495.84x = 48,738 × 11,719.52
  4. Step 4: Simplify right side
    32,495.84x = 571,185,965.76
  5. Step 5: Solve for x
    x = 571,185,965.76/32,495.84
  6. Step 6: Final answer
    x = 17,577.20

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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.