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Finding the Fourth Proportional to 64,954.12, 97,435.58 and 22,829.08

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Solution

The fourth proportional to 64,954.12, 97,435.58 and 22,829.08 is: 34,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,954.12 : 97,435.58 = 22,829.08 : x
  2. Step 2: Convert to fraction form
    64,954.12/97,435.58 = 22,829.08/x
  3. Step 3: Cross multiply
    64,954.12x = 97,435.58 × 22,829.08
  4. Step 4: Simplify right side
    64,954.12x = 2,224,364,650.67
  5. Step 5: Solve for x
    x = 2,224,364,650.67/64,954.12
  6. Step 6: Final answer
    x = 34,245.17

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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.