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Finding the Fourth Proportional to 37,117.82, 55,675.94 and 9,038.01

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Solution

The fourth proportional to 37,117.82, 55,675.94 and 9,038.01 is: 13,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,117.82 : 55,675.94 = 9,038.01 : x
  2. Step 2: Convert to fraction form
    37,117.82/55,675.94 = 9,038.01/x
  3. Step 3: Cross multiply
    37,117.82x = 55,675.94 × 9,038.01
  4. Step 4: Simplify right side
    37,117.82x = 503,199,657.29
  5. Step 5: Solve for x
    x = 503,199,657.29/37,117.82
  6. Step 6: Final answer
    x = 13,556.82

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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.