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Finding the Fourth Proportional to 97,647, 134,752.86 and 52,935

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Solution

The fourth proportional to 97,647, 134,752.86 and 52,935 is: 73,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647 : 134,752.86 = 52,935 : x
  2. Step 2: Convert to fraction form
    97,647/134,752.86 = 52,935/x
  3. Step 3: Cross multiply
    97,647x = 134,752.86 × 52,935
  4. Step 4: Simplify right side
    97,647x = 7,133,142,644.10
  5. Step 5: Solve for x
    x = 7,133,142,644.10/97,647
  6. Step 6: Final answer
    x = 73,050.30

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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.