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Finding the Fourth Proportional to 42,330.34, 58,413.03 and 24,426.10

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Solution

The fourth proportional to 42,330.34, 58,413.03 and 24,426.10 is: 33,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,330.34 : 58,413.03 = 24,426.10 : x
  2. Step 2: Convert to fraction form
    42,330.34/58,413.03 = 24,426.10/x
  3. Step 3: Cross multiply
    42,330.34x = 58,413.03 × 24,426.10
  4. Step 4: Simplify right side
    42,330.34x = 1,426,802,512.08
  5. Step 5: Solve for x
    x = 1,426,802,512.08/42,330.34
  6. Step 6: Final answer
    x = 33,706.38

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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.