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Finding the Fourth Proportional to 72,838.42, 100,545.22 and 56,928

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Solution

The fourth proportional to 72,838.42, 100,545.22 and 56,928 is: 78,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,838.42 : 100,545.22 = 56,928 : x
  2. Step 2: Convert to fraction form
    72,838.42/100,545.22 = 56,928/x
  3. Step 3: Cross multiply
    72,838.42x = 100,545.22 × 56,928
  4. Step 4: Simplify right side
    72,838.42x = 5,723,838,284.16
  5. Step 5: Solve for x
    x = 5,723,838,284.16/72,838.42
  6. Step 6: Final answer
    x = 78,582.68

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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.