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Finding the Fourth Proportional to 42,460, 58,594.84 and 23,598.88

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Solution

The fourth proportional to 42,460, 58,594.84 and 23,598.88 is: 32,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,460 : 58,594.84 = 23,598.88 : x
  2. Step 2: Convert to fraction form
    42,460/58,594.84 = 23,598.88/x
  3. Step 3: Cross multiply
    42,460x = 58,594.84 × 23,598.88
  4. Step 4: Simplify right side
    42,460x = 1,382,772,597.78
  5. Step 5: Solve for x
    x = 1,382,772,597.78/42,460
  6. Step 6: Final answer
    x = 32,566.48

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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.