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Finding the Fourth Proportional to 97,319.24, 145,978.86 and 34,955.72

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Solution

The fourth proportional to 97,319.24, 145,978.86 and 34,955.72 is: 52,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,319.24 : 145,978.86 = 34,955.72 : x
  2. Step 2: Convert to fraction form
    97,319.24/145,978.86 = 34,955.72/x
  3. Step 3: Cross multiply
    97,319.24x = 145,978.86 × 34,955.72
  4. Step 4: Simplify right side
    97,319.24x = 5,102,796,156.08
  5. Step 5: Solve for x
    x = 5,102,796,156.08/97,319.24
  6. Step 6: Final answer
    x = 52,433.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.