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Finding the Fourth Proportional to 30,416.40, 42,114.60 and 29,833.20

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Solution

The fourth proportional to 30,416.40, 42,114.60 and 29,833.20 is: 41,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.40 : 42,114.60 = 29,833.20 : x
  2. Step 2: Convert to fraction form
    30,416.40/42,114.60 = 29,833.20/x
  3. Step 3: Cross multiply
    30,416.40x = 42,114.60 × 29,833.20
  4. Step 4: Simplify right side
    30,416.40x = 1,256,413,284.72
  5. Step 5: Solve for x
    x = 1,256,413,284.72/30,416.40
  6. Step 6: Final answer
    x = 41,307.10

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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.