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Finding the Fourth Proportional to 50,266.40, 69,369.06 and 28,461

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Solution

The fourth proportional to 50,266.40, 69,369.06 and 28,461 is: 39,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,266.40 : 69,369.06 = 28,461 : x
  2. Step 2: Convert to fraction form
    50,266.40/69,369.06 = 28,461/x
  3. Step 3: Cross multiply
    50,266.40x = 69,369.06 × 28,461
  4. Step 4: Simplify right side
    50,266.40x = 1,974,312,816.66
  5. Step 5: Solve for x
    x = 1,974,312,816.66/50,266.40
  6. Step 6: Final answer
    x = 39,276.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.