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Finding the Fourth Proportional to 74,343.69, 102,569.31 and 47,501.91

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Solution

The fourth proportional to 74,343.69, 102,569.31 and 47,501.91 is: 65,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,343.69 : 102,569.31 = 47,501.91 : x
  2. Step 2: Convert to fraction form
    74,343.69/102,569.31 = 47,501.91/x
  3. Step 3: Cross multiply
    74,343.69x = 102,569.31 × 47,501.91
  4. Step 4: Simplify right side
    74,343.69x = 4,872,238,132.38
  5. Step 5: Solve for x
    x = 4,872,238,132.38/74,343.69
  6. Step 6: Final answer
    x = 65,536.67

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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.