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Finding the Fourth Proportional to 37,154.34, 55,730.34 and 10,502.10

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Solution

The fourth proportional to 37,154.34, 55,730.34 and 10,502.10 is: 15,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,154.34 : 55,730.34 = 10,502.10 : x
  2. Step 2: Convert to fraction form
    37,154.34/55,730.34 = 10,502.10/x
  3. Step 3: Cross multiply
    37,154.34x = 55,730.34 × 10,502.10
  4. Step 4: Simplify right side
    37,154.34x = 585,285,603.71
  5. Step 5: Solve for x
    x = 585,285,603.71/37,154.34
  6. Step 6: Final answer
    x = 15,752.82

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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.