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Finding the Fourth Proportional to 91,643.10, 137,421.51 and 35,509.50

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Solution

The fourth proportional to 91,643.10, 137,421.51 and 35,509.50 is: 53,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,643.10 : 137,421.51 = 35,509.50 : x
  2. Step 2: Convert to fraction form
    91,643.10/137,421.51 = 35,509.50/x
  3. Step 3: Cross multiply
    91,643.10x = 137,421.51 × 35,509.50
  4. Step 4: Simplify right side
    91,643.10x = 4,879,769,109.35
  5. Step 5: Solve for x
    x = 4,879,769,109.35/91,643.10
  6. Step 6: Final answer
    x = 53,247.53

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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.