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Finding the Fourth Proportional to 56,835, 85,254.12 and 15,282

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Solution

The fourth proportional to 56,835, 85,254.12 and 15,282 is: 22,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,835 : 85,254.12 = 15,282 : x
  2. Step 2: Convert to fraction form
    56,835/85,254.12 = 15,282/x
  3. Step 3: Cross multiply
    56,835x = 85,254.12 × 15,282
  4. Step 4: Simplify right side
    56,835x = 1,302,853,461.84
  5. Step 5: Solve for x
    x = 1,302,853,461.84/56,835
  6. Step 6: Final answer
    x = 22,923.44

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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.