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Finding the Fourth Proportional to 35,897.76, 49,537.80 and 19,981.86

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Solution

The fourth proportional to 35,897.76, 49,537.80 and 19,981.86 is: 27,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.76 : 49,537.80 = 19,981.86 : x
  2. Step 2: Convert to fraction form
    35,897.76/49,537.80 = 19,981.86/x
  3. Step 3: Cross multiply
    35,897.76x = 49,537.80 × 19,981.86
  4. Step 4: Simplify right side
    35,897.76x = 989,857,384.31
  5. Step 5: Solve for x
    x = 989,857,384.31/35,897.76
  6. Step 6: Final answer
    x = 27,574.35

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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.