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Finding the Fourth Proportional to 37,807.60, 56,716.80 and 12,848.80

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Solution

The fourth proportional to 37,807.60, 56,716.80 and 12,848.80 is: 19,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.60 : 56,716.80 = 12,848.80 : x
  2. Step 2: Convert to fraction form
    37,807.60/56,716.80 = 12,848.80/x
  3. Step 3: Cross multiply
    37,807.60x = 56,716.80 × 12,848.80
  4. Step 4: Simplify right side
    37,807.60x = 728,742,819.84
  5. Step 5: Solve for x
    x = 728,742,819.84/37,807.60
  6. Step 6: Final answer
    x = 19,275.04

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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.