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Finding the Fourth Proportional to 105,384.83, 158,085.50 and 30,506.10

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Solution

The fourth proportional to 105,384.83, 158,085.50 and 30,506.10 is: 45,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,384.83 : 158,085.50 = 30,506.10 : x
  2. Step 2: Convert to fraction form
    105,384.83/158,085.50 = 30,506.10/x
  3. Step 3: Cross multiply
    105,384.83x = 158,085.50 × 30,506.10
  4. Step 4: Simplify right side
    105,384.83x = 4,822,572,071.55
  5. Step 5: Solve for x
    x = 4,822,572,071.55/105,384.83
  6. Step 6: Final answer
    x = 45,761.54

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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.