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Finding the Fourth Proportional to 43,528, 60,068.64 and 25,864

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Solution

The fourth proportional to 43,528, 60,068.64 and 25,864 is: 35,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,528 : 60,068.64 = 25,864 : x
  2. Step 2: Convert to fraction form
    43,528/60,068.64 = 25,864/x
  3. Step 3: Cross multiply
    43,528x = 60,068.64 × 25,864
  4. Step 4: Simplify right side
    43,528x = 1,553,615,304.96
  5. Step 5: Solve for x
    x = 1,553,615,304.96/43,528
  6. Step 6: Final answer
    x = 35,692.32

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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.