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Finding the Fourth Proportional to 77,242.32, 106,585.32 and 43,252.72

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Solution

The fourth proportional to 77,242.32, 106,585.32 and 43,252.72 is: 59,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.32 : 106,585.32 = 43,252.72 : x
  2. Step 2: Convert to fraction form
    77,242.32/106,585.32 = 43,252.72/x
  3. Step 3: Cross multiply
    77,242.32x = 106,585.32 × 43,252.72
  4. Step 4: Simplify right side
    77,242.32x = 4,610,105,002.07
  5. Step 5: Solve for x
    x = 4,610,105,002.07/77,242.32
  6. Step 6: Final answer
    x = 59,683.67

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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.