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Finding the Fourth Proportional to 37,055.92, 55,574 and 10,400.34

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Solution

The fourth proportional to 37,055.92, 55,574 and 10,400.34 is: 15,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,055.92 : 55,574 = 10,400.34 : x
  2. Step 2: Convert to fraction form
    37,055.92/55,574 = 10,400.34/x
  3. Step 3: Cross multiply
    37,055.92x = 55,574 × 10,400.34
  4. Step 4: Simplify right side
    37,055.92x = 577,988,495.16
  5. Step 5: Solve for x
    x = 577,988,495.16/37,055.92
  6. Step 6: Final answer
    x = 15,597.74

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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.