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Finding the Fourth Proportional to 32,719.36, 49,044 and 12,970.56

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Solution

The fourth proportional to 32,719.36, 49,044 and 12,970.56 is: 19,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,719.36 : 49,044 = 12,970.56 : x
  2. Step 2: Convert to fraction form
    32,719.36/49,044 = 12,970.56/x
  3. Step 3: Cross multiply
    32,719.36x = 49,044 × 12,970.56
  4. Step 4: Simplify right side
    32,719.36x = 636,128,144.64
  5. Step 5: Solve for x
    x = 636,128,144.64/32,719.36
  6. Step 6: Final answer
    x = 19,441.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.