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Finding the Fourth Proportional to 57,050, 85,586.40 and 17,605.63

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Solution

The fourth proportional to 57,050, 85,586.40 and 17,605.63 is: 26,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 85,586.40 = 17,605.63 : x
  2. Step 2: Convert to fraction form
    57,050/85,586.40 = 17,605.63/x
  3. Step 3: Cross multiply
    57,050x = 85,586.40 × 17,605.63
  4. Step 4: Simplify right side
    57,050x = 1,506,802,491.43
  5. Step 5: Solve for x
    x = 1,506,802,491.43/57,050
  6. Step 6: Final answer
    x = 26,411.96

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1.5x scale

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.