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Finding the Fourth Proportional to 65,137.14, 97,705.68 and 15,889.14

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Solution

The fourth proportional to 65,137.14, 97,705.68 and 15,889.14 is: 23,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.14 : 97,705.68 = 15,889.14 : x
  2. Step 2: Convert to fraction form
    65,137.14/97,705.68 = 15,889.14/x
  3. Step 3: Cross multiply
    65,137.14x = 97,705.68 × 15,889.14
  4. Step 4: Simplify right side
    65,137.14x = 1,552,459,228.32
  5. Step 5: Solve for x
    x = 1,552,459,228.32/65,137.14
  6. Step 6: Final answer
    x = 23,833.70

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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.