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Finding the Fourth Proportional to 56,446.42, 84,708.51 and 19,510.42

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Solution

The fourth proportional to 56,446.42, 84,708.51 and 19,510.42 is: 29,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.42 : 84,708.51 = 19,510.42 : x
  2. Step 2: Convert to fraction form
    56,446.42/84,708.51 = 19,510.42/x
  3. Step 3: Cross multiply
    56,446.42x = 84,708.51 × 19,510.42
  4. Step 4: Simplify right side
    56,446.42x = 1,652,698,607.67
  5. Step 5: Solve for x
    x = 1,652,698,607.67/56,446.42
  6. Step 6: Final answer
    x = 29,279.07

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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.