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Finding the Fourth Proportional to 30,070.26, 41,497.63 and 19,478.32

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Solution

The fourth proportional to 30,070.26, 41,497.63 and 19,478.32 is: 26,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,070.26 : 41,497.63 = 19,478.32 : x
  2. Step 2: Convert to fraction form
    30,070.26/41,497.63 = 19,478.32/x
  3. Step 3: Cross multiply
    30,070.26x = 41,497.63 × 19,478.32
  4. Step 4: Simplify right side
    30,070.26x = 808,304,116.38
  5. Step 5: Solve for x
    x = 808,304,116.38/30,070.26
  6. Step 6: Final answer
    x = 26,880.52

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Why These Related Problems?

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