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Finding the Fourth Proportional to 64,856.16, 97,245.24 and 25,366.20

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Solution

The fourth proportional to 64,856.16, 97,245.24 and 25,366.20 is: 38,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856.16 : 97,245.24 = 25,366.20 : x
  2. Step 2: Convert to fraction form
    64,856.16/97,245.24 = 25,366.20/x
  3. Step 3: Cross multiply
    64,856.16x = 97,245.24 × 25,366.20
  4. Step 4: Simplify right side
    64,856.16x = 2,466,742,206.89
  5. Step 5: Solve for x
    x = 2,466,742,206.89/64,856.16
  6. Step 6: Final answer
    x = 38,034.05

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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.