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Finding the Fourth Proportional to 37,397.44, 56,089.52 and 13,700

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Solution

The fourth proportional to 37,397.44, 56,089.52 and 13,700 is: 20,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,397.44 : 56,089.52 = 13,700 : x
  2. Step 2: Convert to fraction form
    37,397.44/56,089.52 = 13,700/x
  3. Step 3: Cross multiply
    37,397.44x = 56,089.52 × 13,700
  4. Step 4: Simplify right side
    37,397.44x = 768,426,424
  5. Step 5: Solve for x
    x = 768,426,424/37,397.44
  6. Step 6: Final answer
    x = 20,547.57

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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.