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Finding the Fourth Proportional to 70,415.59, 105,640.00 and 23,030.50

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Solution

The fourth proportional to 70,415.59, 105,640.00 and 23,030.50 is: 34,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,415.59 : 105,640.00 = 23,030.50 : x
  2. Step 2: Convert to fraction form
    70,415.59/105,640.00 = 23,030.50/x
  3. Step 3: Cross multiply
    70,415.59x = 105,640.00 × 23,030.50
  4. Step 4: Simplify right side
    70,415.59x = 2,432,941,640.75
  5. Step 5: Solve for x
    x = 2,432,941,640.75/70,415.59
  6. Step 6: Final answer
    x = 34,551.18

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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.