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Finding the Fourth Proportional to 30,499.57, 42,284.15 and 29,417.02

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Solution

The fourth proportional to 30,499.57, 42,284.15 and 29,417.02 is: 40,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.57 : 42,284.15 = 29,417.02 : x
  2. Step 2: Convert to fraction form
    30,499.57/42,284.15 = 29,417.02/x
  3. Step 3: Cross multiply
    30,499.57x = 42,284.15 × 29,417.02
  4. Step 4: Simplify right side
    30,499.57x = 1,243,873,686.23
  5. Step 5: Solve for x
    x = 1,243,873,686.23/30,499.57
  6. Step 6: Final answer
    x = 40,783.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.