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Finding the Fourth Proportional to 35,547.38, 49,054.77 and 19,632.02

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Solution

The fourth proportional to 35,547.38, 49,054.77 and 19,632.02 is: 27,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,547.38 : 49,054.77 = 19,632.02 : x
  2. Step 2: Convert to fraction form
    35,547.38/49,054.77 = 19,632.02/x
  3. Step 3: Cross multiply
    35,547.38x = 49,054.77 × 19,632.02
  4. Step 4: Simplify right side
    35,547.38x = 963,044,225.74
  5. Step 5: Solve for x
    x = 963,044,225.74/35,547.38
  6. Step 6: Final answer
    x = 27,091.85

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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.