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Finding the Fourth Proportional to 30,870.96, 46,035.30 and 30,590.28

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Solution

The fourth proportional to 30,870.96, 46,035.30 and 30,590.28 is: 45,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.96 : 46,035.30 = 30,590.28 : x
  2. Step 2: Convert to fraction form
    30,870.96/46,035.30 = 30,590.28/x
  3. Step 3: Cross multiply
    30,870.96x = 46,035.30 × 30,590.28
  4. Step 4: Simplify right side
    30,870.96x = 1,408,232,716.88
  5. Step 5: Solve for x
    x = 1,408,232,716.88/30,870.96
  6. Step 6: Final answer
    x = 45,616.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.