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Finding the Fourth Proportional to 72,829.42, 109,248.84 and 22,911.46

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Solution

The fourth proportional to 72,829.42, 109,248.84 and 22,911.46 is: 34,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829.42 : 109,248.84 = 22,911.46 : x
  2. Step 2: Convert to fraction form
    72,829.42/109,248.84 = 22,911.46/x
  3. Step 3: Cross multiply
    72,829.42x = 109,248.84 × 22,911.46
  4. Step 4: Simplify right side
    72,829.42x = 2,503,050,427.71
  5. Step 5: Solve for x
    x = 2,503,050,427.71/72,829.42
  6. Step 6: Final answer
    x = 34,368.67

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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.