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Finding the Fourth Proportional to 75,255.26, 112,931.71 and 32,602.34

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Solution

The fourth proportional to 75,255.26, 112,931.71 and 32,602.34 is: 48,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255.26 : 112,931.71 = 32,602.34 : x
  2. Step 2: Convert to fraction form
    75,255.26/112,931.71 = 32,602.34/x
  3. Step 3: Cross multiply
    75,255.26x = 112,931.71 × 32,602.34
  4. Step 4: Simplify right side
    75,255.26x = 3,681,838,207.02
  5. Step 5: Solve for x
    x = 3,681,838,207.02/75,255.26
  6. Step 6: Final answer
    x = 48,924.67

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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.