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Finding the Fourth Proportional to 105,580.64, 158,386.41 and 30,691.06

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Solution

The fourth proportional to 105,580.64, 158,386.41 and 30,691.06 is: 46,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,580.64 : 158,386.41 = 30,691.06 : x
  2. Step 2: Convert to fraction form
    105,580.64/158,386.41 = 30,691.06/x
  3. Step 3: Cross multiply
    105,580.64x = 158,386.41 × 30,691.06
  4. Step 4: Simplify right side
    105,580.64x = 4,861,046,713.50
  5. Step 5: Solve for x
    x = 4,861,046,713.50/105,580.64
  6. Step 6: Final answer
    x = 46,041.08

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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.