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Finding the Fourth Proportional to 30,312.76, 41,838.06 and 20,371

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Solution

The fourth proportional to 30,312.76, 41,838.06 and 20,371 is: 28,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.76 : 41,838.06 = 20,371 : x
  2. Step 2: Convert to fraction form
    30,312.76/41,838.06 = 20,371/x
  3. Step 3: Cross multiply
    30,312.76x = 41,838.06 × 20,371
  4. Step 4: Simplify right side
    30,312.76x = 852,283,120.26
  5. Step 5: Solve for x
    x = 852,283,120.26/30,312.76
  6. Step 6: Final answer
    x = 28,116.32

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1.5x scale

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.