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Finding the Fourth Proportional to 42,714.32, 58,973.47 and 38,230.29

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Solution

The fourth proportional to 42,714.32, 58,973.47 and 38,230.29 is: 52,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.32 : 58,973.47 = 38,230.29 : x
  2. Step 2: Convert to fraction form
    42,714.32/58,973.47 = 38,230.29/x
  3. Step 3: Cross multiply
    42,714.32x = 58,973.47 × 38,230.29
  4. Step 4: Simplify right side
    42,714.32x = 2,254,572,764.83
  5. Step 5: Solve for x
    x = 2,254,572,764.83/42,714.32
  6. Step 6: Final answer
    x = 52,782.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.