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Finding the Fourth Proportional to 75,438.90, 112,986 and 36,023.76

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Solution

The fourth proportional to 75,438.90, 112,986 and 36,023.76 is: 53,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438.90 : 112,986 = 36,023.76 : x
  2. Step 2: Convert to fraction form
    75,438.90/112,986 = 36,023.76/x
  3. Step 3: Cross multiply
    75,438.90x = 112,986 × 36,023.76
  4. Step 4: Simplify right side
    75,438.90x = 4,070,180,547.36
  5. Step 5: Solve for x
    x = 4,070,180,547.36/75,438.90
  6. Step 6: Final answer
    x = 53,953.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.