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Finding the Fourth Proportional to 35,802.70, 49,407.78 and 19,886.74

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Solution

The fourth proportional to 35,802.70, 49,407.78 and 19,886.74 is: 27,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.70 : 49,407.78 = 19,886.74 : x
  2. Step 2: Convert to fraction form
    35,802.70/49,407.78 = 19,886.74/x
  3. Step 3: Cross multiply
    35,802.70x = 49,407.78 × 19,886.74
  4. Step 4: Simplify right side
    35,802.70x = 982,559,674.84
  5. Step 5: Solve for x
    x = 982,559,674.84/35,802.70
  6. Step 6: Final answer
    x = 27,443.73

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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.