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Finding the Fourth Proportional to 64,749.30, 97,017.02 and 29,611.50

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Solution

The fourth proportional to 64,749.30, 97,017.02 and 29,611.50 is: 44,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,749.30 : 97,017.02 = 29,611.50 : x
  2. Step 2: Convert to fraction form
    64,749.30/97,017.02 = 29,611.50/x
  3. Step 3: Cross multiply
    64,749.30x = 97,017.02 × 29,611.50
  4. Step 4: Simplify right side
    64,749.30x = 2,872,819,487.73
  5. Step 5: Solve for x
    x = 2,872,819,487.73/64,749.30
  6. Step 6: Final answer
    x = 44,368.35

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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.