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Finding the Fourth Proportional to 76,464.64, 114,567.52 and 46,820.56

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Solution

The fourth proportional to 76,464.64, 114,567.52 and 46,820.56 is: 70,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.64 : 114,567.52 = 46,820.56 : x
  2. Step 2: Convert to fraction form
    76,464.64/114,567.52 = 46,820.56/x
  3. Step 3: Cross multiply
    76,464.64x = 114,567.52 × 46,820.56
  4. Step 4: Simplify right side
    76,464.64x = 5,364,115,444.21
  5. Step 5: Solve for x
    x = 5,364,115,444.21/76,464.64
  6. Step 6: Final answer
    x = 70,151.58

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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.