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Finding the Fourth Proportional to 65,050.87, 97,509.84 and 36,911.48

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Solution

The fourth proportional to 65,050.87, 97,509.84 and 36,911.48 is: 55,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,050.87 : 97,509.84 = 36,911.48 : x
  2. Step 2: Convert to fraction form
    65,050.87/97,509.84 = 36,911.48/x
  3. Step 3: Cross multiply
    65,050.87x = 97,509.84 × 36,911.48
  4. Step 4: Simplify right side
    65,050.87x = 3,599,232,080.63
  5. Step 5: Solve for x
    x = 3,599,232,080.63/65,050.87
  6. Step 6: Final answer
    x = 55,329.50

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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.