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Finding the Fourth Proportional to 73,679.16, 110,518.74 and 32,097

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Solution

The fourth proportional to 73,679.16, 110,518.74 and 32,097 is: 48,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,679.16 : 110,518.74 = 32,097 : x
  2. Step 2: Convert to fraction form
    73,679.16/110,518.74 = 32,097/x
  3. Step 3: Cross multiply
    73,679.16x = 110,518.74 × 32,097
  4. Step 4: Simplify right side
    73,679.16x = 3,547,319,997.78
  5. Step 5: Solve for x
    x = 3,547,319,997.78/73,679.16
  6. Step 6: Final answer
    x = 48,145.50

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1.5x scale

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.