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Finding the Fourth Proportional to 35,698.74, 49,263.01 and 19,784.67

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Solution

The fourth proportional to 35,698.74, 49,263.01 and 19,784.67 is: 27,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.74 : 49,263.01 = 19,784.67 : x
  2. Step 2: Convert to fraction form
    35,698.74/49,263.01 = 19,784.67/x
  3. Step 3: Cross multiply
    35,698.74x = 49,263.01 × 19,784.67
  4. Step 4: Simplify right side
    35,698.74x = 974,652,396.06
  5. Step 5: Solve for x
    x = 974,652,396.06/35,698.74
  6. Step 6: Final answer
    x = 27,302.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.