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Finding the Fourth Proportional to 42,164.78, 58,190.02 and 24,259.40

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Solution

The fourth proportional to 42,164.78, 58,190.02 and 24,259.40 is: 33,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,164.78 : 58,190.02 = 24,259.40 : x
  2. Step 2: Convert to fraction form
    42,164.78/58,190.02 = 24,259.40/x
  3. Step 3: Cross multiply
    42,164.78x = 58,190.02 × 24,259.40
  4. Step 4: Simplify right side
    42,164.78x = 1,411,654,971.19
  5. Step 5: Solve for x
    x = 1,411,654,971.19/42,164.78
  6. Step 6: Final answer
    x = 33,479.48

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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.