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Finding the Fourth Proportional to 42,090.34, 58,085.01 and 22,970.27

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Solution

The fourth proportional to 42,090.34, 58,085.01 and 22,970.27 is: 31,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090.34 : 58,085.01 = 22,970.27 : x
  2. Step 2: Convert to fraction form
    42,090.34/58,085.01 = 22,970.27/x
  3. Step 3: Cross multiply
    42,090.34x = 58,085.01 × 22,970.27
  4. Step 4: Simplify right side
    42,090.34x = 1,334,227,957.38
  5. Step 5: Solve for x
    x = 1,334,227,957.38/42,090.34
  6. Step 6: Final answer
    x = 31,699.15

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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.