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Finding the Fourth Proportional to 30,941.84, 42,696.10 and 17,330.74

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Solution

The fourth proportional to 30,941.84, 42,696.10 and 17,330.74 is: 23,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.84 : 42,696.10 = 17,330.74 : x
  2. Step 2: Convert to fraction form
    30,941.84/42,696.10 = 17,330.74/x
  3. Step 3: Cross multiply
    30,941.84x = 42,696.10 × 17,330.74
  4. Step 4: Simplify right side
    30,941.84x = 739,955,008.11
  5. Step 5: Solve for x
    x = 739,955,008.11/30,941.84
  6. Step 6: Final answer
    x = 23,914.38

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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.