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Finding the Fourth Proportional to 60,180.42, 82,962.42 and 42,219.74

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Solution

The fourth proportional to 60,180.42, 82,962.42 and 42,219.74 is: 58,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,180.42 : 82,962.42 = 42,219.74 : x
  2. Step 2: Convert to fraction form
    60,180.42/82,962.42 = 42,219.74/x
  3. Step 3: Cross multiply
    60,180.42x = 82,962.42 × 42,219.74
  4. Step 4: Simplify right side
    60,180.42x = 3,502,651,802.17
  5. Step 5: Solve for x
    x = 3,502,651,802.17/60,180.42
  6. Step 6: Final answer
    x = 58,202.52

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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.