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Finding the Fourth Proportional to 70,385.02, 105,584.40 and 20,465.50

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Solution

The fourth proportional to 70,385.02, 105,584.40 and 20,465.50 is: 30,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385.02 : 105,584.40 = 20,465.50 : x
  2. Step 2: Convert to fraction form
    70,385.02/105,584.40 = 20,465.50/x
  3. Step 3: Cross multiply
    70,385.02x = 105,584.40 × 20,465.50
  4. Step 4: Simplify right side
    70,385.02x = 2,160,837,538.20
  5. Step 5: Solve for x
    x = 2,160,837,538.20/70,385.02
  6. Step 6: Final answer
    x = 30,700.25

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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.