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Finding the Fourth Proportional to 46,415.10, 64,051.12 and 25,193.91

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Solution

The fourth proportional to 46,415.10, 64,051.12 and 25,193.91 is: 34,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415.10 : 64,051.12 = 25,193.91 : x
  2. Step 2: Convert to fraction form
    46,415.10/64,051.12 = 25,193.91/x
  3. Step 3: Cross multiply
    46,415.10x = 64,051.12 × 25,193.91
  4. Step 4: Simplify right side
    46,415.10x = 1,613,698,152.68
  5. Step 5: Solve for x
    x = 1,613,698,152.68/46,415.10
  6. Step 6: Final answer
    x = 34,766.66

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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.