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Finding the Fourth Proportional to 35,947.77, 53,922 and 9,652.52

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Solution

The fourth proportional to 35,947.77, 53,922 and 9,652.52 is: 14,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,947.77 : 53,922 = 9,652.52 : x
  2. Step 2: Convert to fraction form
    35,947.77/53,922 = 9,652.52/x
  3. Step 3: Cross multiply
    35,947.77x = 53,922 × 9,652.52
  4. Step 4: Simplify right side
    35,947.77x = 520,482,913.83
  5. Step 5: Solve for x
    x = 520,482,913.83/35,947.77
  6. Step 6: Final answer
    x = 14,478.87

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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.