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Finding the Fourth Proportional to 37,643.88, 56,471.92 and 12,686.16

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Solution

The fourth proportional to 37,643.88, 56,471.92 and 12,686.16 is: 19,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.88 : 56,471.92 = 12,686.16 : x
  2. Step 2: Convert to fraction form
    37,643.88/56,471.92 = 12,686.16/x
  3. Step 3: Cross multiply
    37,643.88x = 56,471.92 × 12,686.16
  4. Step 4: Simplify right side
    37,643.88x = 716,411,812.63
  5. Step 5: Solve for x
    x = 716,411,812.63/37,643.88
  6. Step 6: Final answer
    x = 19,031.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.