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Finding the Fourth Proportional to 98,368, 135,747.84 and 53,656

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Solution

The fourth proportional to 98,368, 135,747.84 and 53,656 is: 74,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,368 : 135,747.84 = 53,656 : x
  2. Step 2: Convert to fraction form
    98,368/135,747.84 = 53,656/x
  3. Step 3: Cross multiply
    98,368x = 135,747.84 × 53,656
  4. Step 4: Simplify right side
    98,368x = 7,283,686,103.04
  5. Step 5: Solve for x
    x = 7,283,686,103.04/98,368
  6. Step 6: Final answer
    x = 74,045.28

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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.