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Finding the Fourth Proportional to 46,710.22, 64,437.90 and 27,577.18

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Solution

The fourth proportional to 46,710.22, 64,437.90 and 27,577.18 is: 38,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,710.22 : 64,437.90 = 27,577.18 : x
  2. Step 2: Convert to fraction form
    46,710.22/64,437.90 = 27,577.18/x
  3. Step 3: Cross multiply
    46,710.22x = 64,437.90 × 27,577.18
  4. Step 4: Simplify right side
    46,710.22x = 1,777,015,567.12
  5. Step 5: Solve for x
    x = 1,777,015,567.12/46,710.22
  6. Step 6: Final answer
    x = 38,043.40

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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.