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Finding the Fourth Proportional to 46,656.59, 64,387.32 and 28,763.42

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Solution

The fourth proportional to 46,656.59, 64,387.32 and 28,763.42 is: 39,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.59 : 64,387.32 = 28,763.42 : x
  2. Step 2: Convert to fraction form
    46,656.59/64,387.32 = 28,763.42/x
  3. Step 3: Cross multiply
    46,656.59x = 64,387.32 × 28,763.42
  4. Step 4: Simplify right side
    46,656.59x = 1,851,999,527.83
  5. Step 5: Solve for x
    x = 1,851,999,527.83/46,656.59
  6. Step 6: Final answer
    x = 39,694.28

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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.