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Finding the Fourth Proportional to 36,854, 55,281.60 and 10,558.64

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Solution

The fourth proportional to 36,854, 55,281.60 and 10,558.64 is: 15,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,854 : 55,281.60 = 10,558.64 : x
  2. Step 2: Convert to fraction form
    36,854/55,281.60 = 10,558.64/x
  3. Step 3: Cross multiply
    36,854x = 55,281.60 × 10,558.64
  4. Step 4: Simplify right side
    36,854x = 583,698,513.02
  5. Step 5: Solve for x
    x = 583,698,513.02/36,854
  6. Step 6: Final answer
    x = 15,838.13

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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.