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Finding the Fourth Proportional to 30,975.30, 42,746.07 and 19,046.43

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Solution

The fourth proportional to 30,975.30, 42,746.07 and 19,046.43 is: 26,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.30 : 42,746.07 = 19,046.43 : x
  2. Step 2: Convert to fraction form
    30,975.30/42,746.07 = 19,046.43/x
  3. Step 3: Cross multiply
    30,975.30x = 42,746.07 × 19,046.43
  4. Step 4: Simplify right side
    30,975.30x = 814,160,030.03
  5. Step 5: Solve for x
    x = 814,160,030.03/30,975.30
  6. Step 6: Final answer
    x = 26,284.17

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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.