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Finding the Fourth Proportional to 105,582.95, 158,357.92 and 34,505.02

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Solution

The fourth proportional to 105,582.95, 158,357.92 and 34,505.02 is: 51,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,582.95 : 158,357.92 = 34,505.02 : x
  2. Step 2: Convert to fraction form
    105,582.95/158,357.92 = 34,505.02/x
  3. Step 3: Cross multiply
    105,582.95x = 158,357.92 × 34,505.02
  4. Step 4: Simplify right side
    105,582.95x = 5,464,143,024.23
  5. Step 5: Solve for x
    x = 5,464,143,024.23/105,582.95
  6. Step 6: Final answer
    x = 51,752.14

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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.