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Finding the Fourth Proportional to 42,570, 58,746.58 and 24,675.38

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Solution

The fourth proportional to 42,570, 58,746.58 and 24,675.38 is: 34,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570 : 58,746.58 = 24,675.38 : x
  2. Step 2: Convert to fraction form
    42,570/58,746.58 = 24,675.38/x
  3. Step 3: Cross multiply
    42,570x = 58,746.58 × 24,675.38
  4. Step 4: Simplify right side
    42,570x = 1,449,594,185.20
  5. Step 5: Solve for x
    x = 1,449,594,185.20/42,570
  6. Step 6: Final answer
    x = 34,052.01

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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.