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Finding the Fourth Proportional to 98,804.98, 148,207.84 and 23,925

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Solution

The fourth proportional to 98,804.98, 148,207.84 and 23,925 is: 35,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,804.98 : 148,207.84 = 23,925 : x
  2. Step 2: Convert to fraction form
    98,804.98/148,207.84 = 23,925/x
  3. Step 3: Cross multiply
    98,804.98x = 148,207.84 × 23,925
  4. Step 4: Simplify right side
    98,804.98x = 3,545,872,572
  5. Step 5: Solve for x
    x = 3,545,872,572/98,804.98
  6. Step 6: Final answer
    x = 35,887.59

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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.