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Finding the Fourth Proportional to 64,832, 97,277.28 and 37,130

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Solution

The fourth proportional to 64,832, 97,277.28 and 37,130 is: 55,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 97,277.28 = 37,130 : x
  2. Step 2: Convert to fraction form
    64,832/97,277.28 = 37,130/x
  3. Step 3: Cross multiply
    64,832x = 97,277.28 × 37,130
  4. Step 4: Simplify right side
    64,832x = 3,611,905,406.40
  5. Step 5: Solve for x
    x = 3,611,905,406.40/64,832
  6. Step 6: Final answer
    x = 55,711.77

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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.