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Finding the Fourth Proportional to 64,904.16, 97,257.42 and 48,185.76

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Solution

The fourth proportional to 64,904.16, 97,257.42 and 48,185.76 is: 72,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,904.16 : 97,257.42 = 48,185.76 : x
  2. Step 2: Convert to fraction form
    64,904.16/97,257.42 = 48,185.76/x
  3. Step 3: Cross multiply
    64,904.16x = 97,257.42 × 48,185.76
  4. Step 4: Simplify right side
    64,904.16x = 4,686,422,698.34
  5. Step 5: Solve for x
    x = 4,686,422,698.34/64,904.16
  6. Step 6: Final answer
    x = 72,205.27

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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.