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Finding the Fourth Proportional to 53,085.46, 79,639.71 and 16,148.50

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Solution

The fourth proportional to 53,085.46, 79,639.71 and 16,148.50 is: 24,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,085.46 : 79,639.71 = 16,148.50 : x
  2. Step 2: Convert to fraction form
    53,085.46/79,639.71 = 16,148.50/x
  3. Step 3: Cross multiply
    53,085.46x = 79,639.71 × 16,148.50
  4. Step 4: Simplify right side
    53,085.46x = 1,286,061,856.94
  5. Step 5: Solve for x
    x = 1,286,061,856.94/53,085.46
  6. Step 6: Final answer
    x = 24,226.25

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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.