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Finding the Fourth Proportional to 35,700.47, 49,264.25 and 19,567.59

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Solution

The fourth proportional to 35,700.47, 49,264.25 and 19,567.59 is: 27,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700.47 : 49,264.25 = 19,567.59 : x
  2. Step 2: Convert to fraction form
    35,700.47/49,264.25 = 19,567.59/x
  3. Step 3: Cross multiply
    35,700.47x = 49,264.25 × 19,567.59
  4. Step 4: Simplify right side
    35,700.47x = 963,982,547.82
  5. Step 5: Solve for x
    x = 963,982,547.82/35,700.47
  6. Step 6: Final answer
    x = 27,001.96

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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.