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Finding the Fourth Proportional to 51,412, 70,948.68 and 29,056

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Solution

The fourth proportional to 51,412, 70,948.68 and 29,056 is: 40,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412 : 70,948.68 = 29,056 : x
  2. Step 2: Convert to fraction form
    51,412/70,948.68 = 29,056/x
  3. Step 3: Cross multiply
    51,412x = 70,948.68 × 29,056
  4. Step 4: Simplify right side
    51,412x = 2,061,484,846.08
  5. Step 5: Solve for x
    x = 2,061,484,846.08/51,412
  6. Step 6: Final answer
    x = 40,097.35

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Why These Related Problems?

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