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Finding the Fourth Proportional to 77,369.76, 116,030.37 and 29,981.57

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Solution

The fourth proportional to 77,369.76, 116,030.37 and 29,981.57 is: 44,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,369.76 : 116,030.37 = 29,981.57 : x
  2. Step 2: Convert to fraction form
    77,369.76/116,030.37 = 29,981.57/x
  3. Step 3: Cross multiply
    77,369.76x = 116,030.37 × 29,981.57
  4. Step 4: Simplify right side
    77,369.76x = 3,478,772,518.90
  5. Step 5: Solve for x
    x = 3,478,772,518.90/77,369.76
  6. Step 6: Final answer
    x = 44,962.95

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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.