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Finding the Fourth Proportional to 30,696.16, 42,384.54 and 23,970.12

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Solution

The fourth proportional to 30,696.16, 42,384.54 and 23,970.12 is: 33,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.16 : 42,384.54 = 23,970.12 : x
  2. Step 2: Convert to fraction form
    30,696.16/42,384.54 = 23,970.12/x
  3. Step 3: Cross multiply
    30,696.16x = 42,384.54 × 23,970.12
  4. Step 4: Simplify right side
    30,696.16x = 1,015,962,509.94
  5. Step 5: Solve for x
    x = 1,015,962,509.94/30,696.16
  6. Step 6: Final answer
    x = 33,097.38

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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.