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Finding the Fourth Proportional to 94,004, 141,009.84 and 23,885.12

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Solution

The fourth proportional to 94,004, 141,009.84 and 23,885.12 is: 35,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,004 : 141,009.84 = 23,885.12 : x
  2. Step 2: Convert to fraction form
    94,004/141,009.84 = 23,885.12/x
  3. Step 3: Cross multiply
    94,004x = 141,009.84 × 23,885.12
  4. Step 4: Simplify right side
    94,004x = 3,368,036,949.58
  5. Step 5: Solve for x
    x = 3,368,036,949.58/94,004
  6. Step 6: Final answer
    x = 35,828.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.