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Finding the Fourth Proportional to 75,051, 103,529.43 and 48,197.61

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Solution

The fourth proportional to 75,051, 103,529.43 and 48,197.61 is: 66,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,051 : 103,529.43 = 48,197.61 : x
  2. Step 2: Convert to fraction form
    75,051/103,529.43 = 48,197.61/x
  3. Step 3: Cross multiply
    75,051x = 103,529.43 × 48,197.61
  4. Step 4: Simplify right side
    75,051x = 4,989,871,090.66
  5. Step 5: Solve for x
    x = 4,989,871,090.66/75,051
  6. Step 6: Final answer
    x = 66,486.40

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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.