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Finding the Fourth Proportional to 35,698.87, 49,263.06 and 19,783.63

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Solution

The fourth proportional to 35,698.87, 49,263.06 and 19,783.63 is: 27,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.87 : 49,263.06 = 19,783.63 : x
  2. Step 2: Convert to fraction form
    35,698.87/49,263.06 = 19,783.63/x
  3. Step 3: Cross multiply
    35,698.87x = 49,263.06 × 19,783.63
  4. Step 4: Simplify right side
    35,698.87x = 974,602,151.71
  5. Step 5: Solve for x
    x = 974,602,151.71/35,698.87
  6. Step 6: Final answer
    x = 27,300.64

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