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Finding the Fourth Proportional to 46,597.60, 64,326.48 and 29,840.16

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Solution

The fourth proportional to 46,597.60, 64,326.48 and 29,840.16 is: 41,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,597.60 : 64,326.48 = 29,840.16 : x
  2. Step 2: Convert to fraction form
    46,597.60/64,326.48 = 29,840.16/x
  3. Step 3: Cross multiply
    46,597.60x = 64,326.48 × 29,840.16
  4. Step 4: Simplify right side
    46,597.60x = 1,919,512,455.44
  5. Step 5: Solve for x
    x = 1,919,512,455.44/46,597.60
  6. Step 6: Final answer
    x = 41,193.38

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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.