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Finding the Fourth Proportional to 77,491.68, 116,237.53 and 24,938.07

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Solution

The fourth proportional to 77,491.68, 116,237.53 and 24,938.07 is: 37,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.68 : 116,237.53 = 24,938.07 : x
  2. Step 2: Convert to fraction form
    77,491.68/116,237.53 = 24,938.07/x
  3. Step 3: Cross multiply
    77,491.68x = 116,237.53 × 24,938.07
  4. Step 4: Simplify right side
    77,491.68x = 2,898,739,659.77
  5. Step 5: Solve for x
    x = 2,898,739,659.77/77,491.68
  6. Step 6: Final answer
    x = 37,407.11

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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.