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Finding the Fourth Proportional to 42,431.40, 63,678.70 and 16,187.40

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Solution

The fourth proportional to 42,431.40, 63,678.70 and 16,187.40 is: 24,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,431.40 : 63,678.70 = 16,187.40 : x
  2. Step 2: Convert to fraction form
    42,431.40/63,678.70 = 16,187.40/x
  3. Step 3: Cross multiply
    42,431.40x = 63,678.70 × 16,187.40
  4. Step 4: Simplify right side
    42,431.40x = 1,030,792,588.38
  5. Step 5: Solve for x
    x = 1,030,792,588.38/42,431.40
  6. Step 6: Final answer
    x = 24,293.16

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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.