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Finding the Fourth Proportional to 70,323, 105,484.50 and 21,075

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Solution

The fourth proportional to 70,323, 105,484.50 and 21,075 is: 31,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,323 : 105,484.50 = 21,075 : x
  2. Step 2: Convert to fraction form
    70,323/105,484.50 = 21,075/x
  3. Step 3: Cross multiply
    70,323x = 105,484.50 × 21,075
  4. Step 4: Simplify right side
    70,323x = 2,223,085,837.50
  5. Step 5: Solve for x
    x = 2,223,085,837.50/70,323
  6. Step 6: Final answer
    x = 31,612.50

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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.