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Finding the Fourth Proportional to 37,271.04, 51,435 and 20,276.34

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Solution

The fourth proportional to 37,271.04, 51,435 and 20,276.34 is: 27,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,271.04 : 51,435 = 20,276.34 : x
  2. Step 2: Convert to fraction form
    37,271.04/51,435 = 20,276.34/x
  3. Step 3: Cross multiply
    37,271.04x = 51,435 × 20,276.34
  4. Step 4: Simplify right side
    37,271.04x = 1,042,913,547.90
  5. Step 5: Solve for x
    x = 1,042,913,547.90/37,271.04
  6. Step 6: Final answer
    x = 27,981.87

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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.