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Finding the Fourth Proportional to 35,710.47, 49,283.24 and 19,798.02

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Solution

The fourth proportional to 35,710.47, 49,283.24 and 19,798.02 is: 27,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.47 : 49,283.24 = 19,798.02 : x
  2. Step 2: Convert to fraction form
    35,710.47/49,283.24 = 19,798.02/x
  3. Step 3: Cross multiply
    35,710.47x = 49,283.24 × 19,798.02
  4. Step 4: Simplify right side
    35,710.47x = 975,710,472.19
  5. Step 5: Solve for x
    x = 975,710,472.19/35,710.47
  6. Step 6: Final answer
    x = 27,322.81

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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.