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Finding the Fourth Proportional to 42,503.92, 58,657.62 and 23,641

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Solution

The fourth proportional to 42,503.92, 58,657.62 and 23,641 is: 32,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,503.92 : 58,657.62 = 23,641 : x
  2. Step 2: Convert to fraction form
    42,503.92/58,657.62 = 23,641/x
  3. Step 3: Cross multiply
    42,503.92x = 58,657.62 × 23,641
  4. Step 4: Simplify right side
    42,503.92x = 1,386,724,794.42
  5. Step 5: Solve for x
    x = 1,386,724,794.42/42,503.92
  6. Step 6: Final answer
    x = 32,625.81

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1.5x scale

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.