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Finding the Fourth Proportional to 30,803.30, 42,470.04 and 25,706.16

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Solution

The fourth proportional to 30,803.30, 42,470.04 and 25,706.16 is: 35,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.30 : 42,470.04 = 25,706.16 : x
  2. Step 2: Convert to fraction form
    30,803.30/42,470.04 = 25,706.16/x
  3. Step 3: Cross multiply
    30,803.30x = 42,470.04 × 25,706.16
  4. Step 4: Simplify right side
    30,803.30x = 1,091,741,643.45
  5. Step 5: Solve for x
    x = 1,091,741,643.45/30,803.30
  6. Step 6: Final answer
    x = 35,442.36

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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.