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Finding the Fourth Proportional to 37,881.90, 56,830.98 and 11,585.76

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Solution

The fourth proportional to 37,881.90, 56,830.98 and 11,585.76 is: 17,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881.90 : 56,830.98 = 11,585.76 : x
  2. Step 2: Convert to fraction form
    37,881.90/56,830.98 = 11,585.76/x
  3. Step 3: Cross multiply
    37,881.90x = 56,830.98 × 11,585.76
  4. Step 4: Simplify right side
    37,881.90x = 658,430,094.84
  5. Step 5: Solve for x
    x = 658,430,094.84/37,881.90
  6. Step 6: Final answer
    x = 17,381.13

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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.