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Finding the Fourth Proportional to 46,594.60, 64,265.86 and 29,584.08

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Solution

The fourth proportional to 46,594.60, 64,265.86 and 29,584.08 is: 40,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,594.60 : 64,265.86 = 29,584.08 : x
  2. Step 2: Convert to fraction form
    46,594.60/64,265.86 = 29,584.08/x
  3. Step 3: Cross multiply
    46,594.60x = 64,265.86 × 29,584.08
  4. Step 4: Simplify right side
    46,594.60x = 1,901,246,343.51
  5. Step 5: Solve for x
    x = 1,901,246,343.51/46,594.60
  6. Step 6: Final answer
    x = 40,804.01

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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.