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Finding the Fourth Proportional to 64,828, 97,271.28 and 37,126

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Solution

The fourth proportional to 64,828, 97,271.28 and 37,126 is: 55,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,828 : 97,271.28 = 37,126 : x
  2. Step 2: Convert to fraction form
    64,828/97,271.28 = 37,126/x
  3. Step 3: Cross multiply
    64,828x = 97,271.28 × 37,126
  4. Step 4: Simplify right side
    64,828x = 3,611,293,541.28
  5. Step 5: Solve for x
    x = 3,611,293,541.28/64,828
  6. Step 6: Final answer
    x = 55,705.77

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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.