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Finding the Fourth Proportional to 37,312.70, 55,933.86 and 18,575

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Solution

The fourth proportional to 37,312.70, 55,933.86 and 18,575 is: 27,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312.70 : 55,933.86 = 18,575 : x
  2. Step 2: Convert to fraction form
    37,312.70/55,933.86 = 18,575/x
  3. Step 3: Cross multiply
    37,312.70x = 55,933.86 × 18,575
  4. Step 4: Simplify right side
    37,312.70x = 1,038,971,449.50
  5. Step 5: Solve for x
    x = 1,038,971,449.50/37,312.70
  6. Step 6: Final answer
    x = 27,844.98

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Why These Related Problems?

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