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Finding the Fourth Proportional to 42,683.60, 58,904.84 and 23,824.24

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Solution

The fourth proportional to 42,683.60, 58,904.84 and 23,824.24 is: 32,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683.60 : 58,904.84 = 23,824.24 : x
  2. Step 2: Convert to fraction form
    42,683.60/58,904.84 = 23,824.24/x
  3. Step 3: Cross multiply
    42,683.60x = 58,904.84 × 23,824.24
  4. Step 4: Simplify right side
    42,683.60x = 1,403,363,045.32
  5. Step 5: Solve for x
    x = 1,403,363,045.32/42,683.60
  6. Step 6: Final answer
    x = 32,878.27

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