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Finding the Fourth Proportional to 42,854.64, 64,323.52 and 20,683.62

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Solution

The fourth proportional to 42,854.64, 64,323.52 and 20,683.62 is: 31,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854.64 : 64,323.52 = 20,683.62 : x
  2. Step 2: Convert to fraction form
    42,854.64/64,323.52 = 20,683.62/x
  3. Step 3: Cross multiply
    42,854.64x = 64,323.52 × 20,683.62
  4. Step 4: Simplify right side
    42,854.64x = 1,330,443,244.74
  5. Step 5: Solve for x
    x = 1,330,443,244.74/42,854.64
  6. Step 6: Final answer
    x = 31,045.49

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