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Finding the Fourth Proportional to 51,347.80, 77,021.70 and 14,411.80

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Solution

The fourth proportional to 51,347.80, 77,021.70 and 14,411.80 is: 21,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,347.80 : 77,021.70 = 14,411.80 : x
  2. Step 2: Convert to fraction form
    51,347.80/77,021.70 = 14,411.80/x
  3. Step 3: Cross multiply
    51,347.80x = 77,021.70 × 14,411.80
  4. Step 4: Simplify right side
    51,347.80x = 1,110,021,336.06
  5. Step 5: Solve for x
    x = 1,110,021,336.06/51,347.80
  6. Step 6: Final answer
    x = 21,617.70

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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.