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Finding the Fourth Proportional to 55,688.96, 83,516.88 and 16,233.50

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Solution

The fourth proportional to 55,688.96, 83,516.88 and 16,233.50 is: 24,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,688.96 : 83,516.88 = 16,233.50 : x
  2. Step 2: Convert to fraction form
    55,688.96/83,516.88 = 16,233.50/x
  3. Step 3: Cross multiply
    55,688.96x = 83,516.88 × 16,233.50
  4. Step 4: Simplify right side
    55,688.96x = 1,355,771,271.48
  5. Step 5: Solve for x
    x = 1,355,771,271.48/55,688.96
  6. Step 6: Final answer
    x = 24,345.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.