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Finding the Fourth Proportional to 35,174.94, 48,541.30 and 19,259.25

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Solution

The fourth proportional to 35,174.94, 48,541.30 and 19,259.25 is: 26,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174.94 : 48,541.30 = 19,259.25 : x
  2. Step 2: Convert to fraction form
    35,174.94/48,541.30 = 19,259.25/x
  3. Step 3: Cross multiply
    35,174.94x = 48,541.30 × 19,259.25
  4. Step 4: Simplify right side
    35,174.94x = 934,869,032.03
  5. Step 5: Solve for x
    x = 934,869,032.03/35,174.94
  6. Step 6: Final answer
    x = 26,577.70

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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.