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Finding the Fourth Proportional to 30,089.42, 45,141.34 and 9,312.92

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Solution

The fourth proportional to 30,089.42, 45,141.34 and 9,312.92 is: 13,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,089.42 : 45,141.34 = 9,312.92 : x
  2. Step 2: Convert to fraction form
    30,089.42/45,141.34 = 9,312.92/x
  3. Step 3: Cross multiply
    30,089.42x = 45,141.34 × 9,312.92
  4. Step 4: Simplify right side
    30,089.42x = 420,397,688.11
  5. Step 5: Solve for x
    x = 420,397,688.11/30,089.42
  6. Step 6: Final answer
    x = 13,971.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.