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Finding the Fourth Proportional to 32,041.64, 48,067.92 and 9,854.53

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Solution

The fourth proportional to 32,041.64, 48,067.92 and 9,854.53 is: 14,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.64 : 48,067.92 = 9,854.53 : x
  2. Step 2: Convert to fraction form
    32,041.64/48,067.92 = 9,854.53/x
  3. Step 3: Cross multiply
    32,041.64x = 48,067.92 × 9,854.53
  4. Step 4: Simplify right side
    32,041.64x = 473,686,639.51
  5. Step 5: Solve for x
    x = 473,686,639.51/32,041.64
  6. Step 6: Final answer
    x = 14,783.47

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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.