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Finding the Fourth Proportional to 77,325.76, 106,707.74 and 45,496.72

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Solution

The fourth proportional to 77,325.76, 106,707.74 and 45,496.72 is: 62,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,325.76 : 106,707.74 = 45,496.72 : x
  2. Step 2: Convert to fraction form
    77,325.76/106,707.74 = 45,496.72/x
  3. Step 3: Cross multiply
    77,325.76x = 106,707.74 × 45,496.72
  4. Step 4: Simplify right side
    77,325.76x = 4,854,852,168.61
  5. Step 5: Solve for x
    x = 4,854,852,168.61/77,325.76
  6. Step 6: Final answer
    x = 62,784.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.