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Finding the Fourth Proportional to 37,894.40, 52,298.17 and 24,106.29

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Solution

The fourth proportional to 37,894.40, 52,298.17 and 24,106.29 is: 33,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.40 : 52,298.17 = 24,106.29 : x
  2. Step 2: Convert to fraction form
    37,894.40/52,298.17 = 24,106.29/x
  3. Step 3: Cross multiply
    37,894.40x = 52,298.17 × 24,106.29
  4. Step 4: Simplify right side
    37,894.40x = 1,260,714,852.49
  5. Step 5: Solve for x
    x = 1,260,714,852.49/37,894.40
  6. Step 6: Final answer
    x = 33,269.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.