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Finding the Fourth Proportional to 77,762.34, 116,574.03 and 30,366.41

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Solution

The fourth proportional to 77,762.34, 116,574.03 and 30,366.41 is: 45,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762.34 : 116,574.03 = 30,366.41 : x
  2. Step 2: Convert to fraction form
    77,762.34/116,574.03 = 30,366.41/x
  3. Step 3: Cross multiply
    77,762.34x = 116,574.03 × 30,366.41
  4. Step 4: Simplify right side
    77,762.34x = 3,539,934,207.46
  5. Step 5: Solve for x
    x = 3,539,934,207.46/77,762.34
  6. Step 6: Final answer
    x = 45,522.48

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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.