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Finding the Fourth Proportional to 56,323, 84,484.50 and 14,770

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Solution

The fourth proportional to 56,323, 84,484.50 and 14,770 is: 22,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,323 : 84,484.50 = 14,770 : x
  2. Step 2: Convert to fraction form
    56,323/84,484.50 = 14,770/x
  3. Step 3: Cross multiply
    56,323x = 84,484.50 × 14,770
  4. Step 4: Simplify right side
    56,323x = 1,247,836,065
  5. Step 5: Solve for x
    x = 1,247,836,065/56,323
  6. Step 6: Final answer
    x = 22,155

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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.