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Finding the Fourth Proportional to 47,804.83, 65,965.31 and 26,582.83

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Solution

The fourth proportional to 47,804.83, 65,965.31 and 26,582.83 is: 36,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.83 : 65,965.31 = 26,582.83 : x
  2. Step 2: Convert to fraction form
    47,804.83/65,965.31 = 26,582.83/x
  3. Step 3: Cross multiply
    47,804.83x = 65,965.31 × 26,582.83
  4. Step 4: Simplify right side
    47,804.83x = 1,753,544,621.63
  5. Step 5: Solve for x
    x = 1,753,544,621.63/47,804.83
  6. Step 6: Final answer
    x = 36,681.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.