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Finding the Fourth Proportional to 94,435, 141,652.50 and 28,771

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Solution

The fourth proportional to 94,435, 141,652.50 and 28,771 is: 43,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,435 : 141,652.50 = 28,771 : x
  2. Step 2: Convert to fraction form
    94,435/141,652.50 = 28,771/x
  3. Step 3: Cross multiply
    94,435x = 141,652.50 × 28,771
  4. Step 4: Simplify right side
    94,435x = 4,075,484,077.50
  5. Step 5: Solve for x
    x = 4,075,484,077.50/94,435
  6. Step 6: Final answer
    x = 43,156.50

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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.