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Finding the Fourth Proportional to 42,768, 59,019.84 and 23,909.58

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Solution

The fourth proportional to 42,768, 59,019.84 and 23,909.58 is: 32,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 59,019.84 = 23,909.58 : x
  2. Step 2: Convert to fraction form
    42,768/59,019.84 = 23,909.58/x
  3. Step 3: Cross multiply
    42,768x = 59,019.84 × 23,909.58
  4. Step 4: Simplify right side
    42,768x = 1,411,139,586.07
  5. Step 5: Solve for x
    x = 1,411,139,586.07/42,768
  6. Step 6: Final answer
    x = 32,995.22

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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.