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Finding the Fourth Proportional to 75,411, 104,076.36 and 43,580.16

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Solution

The fourth proportional to 75,411, 104,076.36 and 43,580.16 is: 60,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411 : 104,076.36 = 43,580.16 : x
  2. Step 2: Convert to fraction form
    75,411/104,076.36 = 43,580.16/x
  3. Step 3: Cross multiply
    75,411x = 104,076.36 × 43,580.16
  4. Step 4: Simplify right side
    75,411x = 4,535,664,421.02
  5. Step 5: Solve for x
    x = 4,535,664,421.02/75,411
  6. Step 6: Final answer
    x = 60,145.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.