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Finding the Fourth Proportional to 97,486, 134,530.86 and 52,774

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Solution

The fourth proportional to 97,486, 134,530.86 and 52,774 is: 72,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,486 : 134,530.86 = 52,774 : x
  2. Step 2: Convert to fraction form
    97,486/134,530.86 = 52,774/x
  3. Step 3: Cross multiply
    97,486x = 134,530.86 × 52,774
  4. Step 4: Simplify right side
    97,486x = 7,099,731,605.64
  5. Step 5: Solve for x
    x = 7,099,731,605.64/97,486
  6. Step 6: Final answer
    x = 72,828.22

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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.