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Finding the Fourth Proportional to 64,588.70, 89,133.93 and 35,909.24

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Solution

The fourth proportional to 64,588.70, 89,133.93 and 35,909.24 is: 49,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,588.70 : 89,133.93 = 35,909.24 : x
  2. Step 2: Convert to fraction form
    64,588.70/89,133.93 = 35,909.24/x
  3. Step 3: Cross multiply
    64,588.70x = 89,133.93 × 35,909.24
  4. Step 4: Simplify right side
    64,588.70x = 3,200,731,238.84
  5. Step 5: Solve for x
    x = 3,200,731,238.84/64,588.70
  6. Step 6: Final answer
    x = 49,555.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.