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Finding the Fourth Proportional to 97,768, 134,919.84 and 53,056

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Solution

The fourth proportional to 97,768, 134,919.84 and 53,056 is: 73,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768 : 134,919.84 = 53,056 : x
  2. Step 2: Convert to fraction form
    97,768/134,919.84 = 53,056/x
  3. Step 3: Cross multiply
    97,768x = 134,919.84 × 53,056
  4. Step 4: Simplify right side
    97,768x = 7,158,307,031.04
  5. Step 5: Solve for x
    x = 7,158,307,031.04/97,768
  6. Step 6: Final answer
    x = 73,217.28

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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.