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Finding the Fourth Proportional to 42,329.81, 58,416.98 and 23,466.94

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Solution

The fourth proportional to 42,329.81, 58,416.98 and 23,466.94 is: 32,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,329.81 : 58,416.98 = 23,466.94 : x
  2. Step 2: Convert to fraction form
    42,329.81/58,416.98 = 23,466.94/x
  3. Step 3: Cross multiply
    42,329.81x = 58,416.98 × 23,466.94
  4. Step 4: Simplify right side
    42,329.81x = 1,370,867,501.26
  5. Step 5: Solve for x
    x = 1,370,867,501.26/42,329.81
  6. Step 6: Final answer
    x = 32,385.39

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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.