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Finding the Fourth Proportional to 97,426, 134,447.88 and 52,714

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Solution

The fourth proportional to 97,426, 134,447.88 and 52,714 is: 72,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426 : 134,447.88 = 52,714 : x
  2. Step 2: Convert to fraction form
    97,426/134,447.88 = 52,714/x
  3. Step 3: Cross multiply
    97,426x = 134,447.88 × 52,714
  4. Step 4: Simplify right side
    97,426x = 7,087,285,546.32
  5. Step 5: Solve for x
    x = 7,087,285,546.32/97,426
  6. Step 6: Final answer
    x = 72,745.32

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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.