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Finding the Fourth Proportional to 46,415.45, 64,053.39 and 25,194.74

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Solution

The fourth proportional to 46,415.45, 64,053.39 and 25,194.74 is: 34,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415.45 : 64,053.39 = 25,194.74 : x
  2. Step 2: Convert to fraction form
    46,415.45/64,053.39 = 25,194.74/x
  3. Step 3: Cross multiply
    46,415.45x = 64,053.39 × 25,194.74
  4. Step 4: Simplify right side
    46,415.45x = 1,613,808,281.38
  5. Step 5: Solve for x
    x = 1,613,808,281.38/46,415.45
  6. Step 6: Final answer
    x = 34,768.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.