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Finding the Fourth Proportional to 76,374.52, 114,524.76 and 26,457.46

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Solution

The fourth proportional to 76,374.52, 114,524.76 and 26,457.46 is: 39,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.52 : 114,524.76 = 26,457.46 : x
  2. Step 2: Convert to fraction form
    76,374.52/114,524.76 = 26,457.46/x
  3. Step 3: Cross multiply
    76,374.52x = 114,524.76 × 26,457.46
  4. Step 4: Simplify right side
    76,374.52x = 3,030,034,256.71
  5. Step 5: Solve for x
    x = 3,030,034,256.71/76,374.52
  6. Step 6: Final answer
    x = 39,673.37

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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.