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Finding the Fourth Proportional to 69,830.88, 104,746.52 and 25,457.56

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Solution

The fourth proportional to 69,830.88, 104,746.52 and 25,457.56 is: 38,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,830.88 : 104,746.52 = 25,457.56 : x
  2. Step 2: Convert to fraction form
    69,830.88/104,746.52 = 25,457.56/x
  3. Step 3: Cross multiply
    69,830.88x = 104,746.52 × 25,457.56
  4. Step 4: Simplify right side
    69,830.88x = 2,666,590,476.27
  5. Step 5: Solve for x
    x = 2,666,590,476.27/69,830.88
  6. Step 6: Final answer
    x = 38,186.41

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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.