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Finding the Fourth Proportional to 46,416.60, 64,054.98 and 25,195.86

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Solution

The fourth proportional to 46,416.60, 64,054.98 and 25,195.86 is: 34,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416.60 : 64,054.98 = 25,195.86 : x
  2. Step 2: Convert to fraction form
    46,416.60/64,054.98 = 25,195.86/x
  3. Step 3: Cross multiply
    46,416.60x = 64,054.98 × 25,195.86
  4. Step 4: Simplify right side
    46,416.60x = 1,613,920,308.38
  5. Step 5: Solve for x
    x = 1,613,920,308.38/46,416.60
  6. Step 6: Final answer
    x = 34,770.33

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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.