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Finding the Fourth Proportional to 37,046.40, 55,574.44 and 12,077.68

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Solution

The fourth proportional to 37,046.40, 55,574.44 and 12,077.68 is: 18,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046.40 : 55,574.44 = 12,077.68 : x
  2. Step 2: Convert to fraction form
    37,046.40/55,574.44 = 12,077.68/x
  3. Step 3: Cross multiply
    37,046.40x = 55,574.44 × 12,077.68
  4. Step 4: Simplify right side
    37,046.40x = 671,210,302.50
  5. Step 5: Solve for x
    x = 671,210,302.50/37,046.40
  6. Step 6: Final answer
    x = 18,118.10

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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.