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Finding the Fourth Proportional to 64,904.20, 97,289.10 and 35,259.40

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Solution

The fourth proportional to 64,904.20, 97,289.10 and 35,259.40 is: 52,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,904.20 : 97,289.10 = 35,259.40 : x
  2. Step 2: Convert to fraction form
    64,904.20/97,289.10 = 35,259.40/x
  3. Step 3: Cross multiply
    64,904.20x = 97,289.10 × 35,259.40
  4. Step 4: Simplify right side
    64,904.20x = 3,430,355,292.54
  5. Step 5: Solve for x
    x = 3,430,355,292.54/64,904.20
  6. Step 6: Final answer
    x = 52,852.59

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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.