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Finding the Fourth Proportional to 56,148.96, 84,223.52 and 14,596

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Solution

The fourth proportional to 56,148.96, 84,223.52 and 14,596 is: 21,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148.96 : 84,223.52 = 14,596 : x
  2. Step 2: Convert to fraction form
    56,148.96/84,223.52 = 14,596/x
  3. Step 3: Cross multiply
    56,148.96x = 84,223.52 × 14,596
  4. Step 4: Simplify right side
    56,148.96x = 1,229,326,497.92
  5. Step 5: Solve for x
    x = 1,229,326,497.92/56,148.96
  6. Step 6: Final answer
    x = 21,894.02

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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.