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Finding the Fourth Proportional to 82,941.40, 124,412.10 and 30,356.20

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Solution

The fourth proportional to 82,941.40, 124,412.10 and 30,356.20 is: 45,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,941.40 : 124,412.10 = 30,356.20 : x
  2. Step 2: Convert to fraction form
    82,941.40/124,412.10 = 30,356.20/x
  3. Step 3: Cross multiply
    82,941.40x = 124,412.10 × 30,356.20
  4. Step 4: Simplify right side
    82,941.40x = 3,776,678,590.02
  5. Step 5: Solve for x
    x = 3,776,678,590.02/82,941.40
  6. Step 6: Final answer
    x = 45,534.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.