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Finding the Fourth Proportional to 42,020.14, 63,030.03 and 12,438.16

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Solution

The fourth proportional to 42,020.14, 63,030.03 and 12,438.16 is: 18,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,020.14 : 63,030.03 = 12,438.16 : x
  2. Step 2: Convert to fraction form
    42,020.14/63,030.03 = 12,438.16/x
  3. Step 3: Cross multiply
    42,020.14x = 63,030.03 × 12,438.16
  4. Step 4: Simplify right side
    42,020.14x = 783,977,597.94
  5. Step 5: Solve for x
    x = 783,977,597.94/42,020.14
  6. Step 6: Final answer
    x = 18,657.19

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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.