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Finding the Fourth Proportional to 46,530.96, 64,214.04 and 25,311.60

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Solution

The fourth proportional to 46,530.96, 64,214.04 and 25,311.60 is: 34,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,530.96 : 64,214.04 = 25,311.60 : x
  2. Step 2: Convert to fraction form
    46,530.96/64,214.04 = 25,311.60/x
  3. Step 3: Cross multiply
    46,530.96x = 64,214.04 × 25,311.60
  4. Step 4: Simplify right side
    46,530.96x = 1,625,360,094.86
  5. Step 5: Solve for x
    x = 1,625,360,094.86/46,530.96
  6. Step 6: Final answer
    x = 34,930.72

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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.