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Finding the Fourth Proportional to 94,610, 141,915 and 32,280.50

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Solution

The fourth proportional to 94,610, 141,915 and 32,280.50 is: 48,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,610 : 141,915 = 32,280.50 : x
  2. Step 2: Convert to fraction form
    94,610/141,915 = 32,280.50/x
  3. Step 3: Cross multiply
    94,610x = 141,915 × 32,280.50
  4. Step 4: Simplify right side
    94,610x = 4,581,087,157.50
  5. Step 5: Solve for x
    x = 4,581,087,157.50/94,610
  6. Step 6: Final answer
    x = 48,420.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.