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Finding the Fourth Proportional to 72,042, 99,429.48 and 42,234

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Solution

The fourth proportional to 72,042, 99,429.48 and 42,234 is: 58,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,042 : 99,429.48 = 42,234 : x
  2. Step 2: Convert to fraction form
    72,042/99,429.48 = 42,234/x
  3. Step 3: Cross multiply
    72,042x = 99,429.48 × 42,234
  4. Step 4: Simplify right side
    72,042x = 4,199,304,658.32
  5. Step 5: Solve for x
    x = 4,199,304,658.32/72,042
  6. Step 6: Final answer
    x = 58,289.67

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