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Finding the Fourth Proportional to 30,211.14, 45,312.45 and 8,026.47

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Solution

The fourth proportional to 30,211.14, 45,312.45 and 8,026.47 is: 12,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.14 : 45,312.45 = 8,026.47 : x
  2. Step 2: Convert to fraction form
    30,211.14/45,312.45 = 8,026.47/x
  3. Step 3: Cross multiply
    30,211.14x = 45,312.45 × 8,026.47
  4. Step 4: Simplify right side
    30,211.14x = 363,699,020.55
  5. Step 5: Solve for x
    x = 363,699,020.55/30,211.14
  6. Step 6: Final answer
    x = 12,038.57

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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.