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Finding the Fourth Proportional to 37,029.76, 55,533.12 and 12,400

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Solution

The fourth proportional to 37,029.76, 55,533.12 and 12,400 is: 18,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029.76 : 55,533.12 = 12,400 : x
  2. Step 2: Convert to fraction form
    37,029.76/55,533.12 = 12,400/x
  3. Step 3: Cross multiply
    37,029.76x = 55,533.12 × 12,400
  4. Step 4: Simplify right side
    37,029.76x = 688,610,688
  5. Step 5: Solve for x
    x = 688,610,688/37,029.76
  6. Step 6: Final answer
    x = 18,596.14

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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.