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Finding the Fourth Proportional to 37,936, 56,929.92 and 13,312

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Solution

The fourth proportional to 37,936, 56,929.92 and 13,312 is: 19,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,936 : 56,929.92 = 13,312 : x
  2. Step 2: Convert to fraction form
    37,936/56,929.92 = 13,312/x
  3. Step 3: Cross multiply
    37,936x = 56,929.92 × 13,312
  4. Step 4: Simplify right side
    37,936x = 757,851,095.04
  5. Step 5: Solve for x
    x = 757,851,095.04/37,936
  6. Step 6: Final answer
    x = 19,977.10

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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.