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Finding the Fourth Proportional to 70,410, 97,165.83 and 38,580.12

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Solution

The fourth proportional to 70,410, 97,165.83 and 38,580.12 is: 53,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410 : 97,165.83 = 38,580.12 : x
  2. Step 2: Convert to fraction form
    70,410/97,165.83 = 38,580.12/x
  3. Step 3: Cross multiply
    70,410x = 97,165.83 × 38,580.12
  4. Step 4: Simplify right side
    70,410x = 3,748,669,381.30
  5. Step 5: Solve for x
    x = 3,748,669,381.30/70,410
  6. Step 6: Final answer
    x = 53,240.58

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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.