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Finding the Fourth Proportional to 30,038.16, 41,453.52 and 16,426.98

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Solution

The fourth proportional to 30,038.16, 41,453.52 and 16,426.98 is: 22,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038.16 : 41,453.52 = 16,426.98 : x
  2. Step 2: Convert to fraction form
    30,038.16/41,453.52 = 16,426.98/x
  3. Step 3: Cross multiply
    30,038.16x = 41,453.52 × 16,426.98
  4. Step 4: Simplify right side
    30,038.16x = 680,956,143.97
  5. Step 5: Solve for x
    x = 680,956,143.97/30,038.16
  6. Step 6: Final answer
    x = 22,669.70

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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.