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Finding the Fourth Proportional to 55,702.08, 76,886.08 and 35,830.08

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Solution

The fourth proportional to 55,702.08, 76,886.08 and 35,830.08 is: 49,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.08 : 76,886.08 = 35,830.08 : x
  2. Step 2: Convert to fraction form
    55,702.08/76,886.08 = 35,830.08/x
  3. Step 3: Cross multiply
    55,702.08x = 76,886.08 × 35,830.08
  4. Step 4: Simplify right side
    55,702.08x = 2,754,834,397.29
  5. Step 5: Solve for x
    x = 2,754,834,397.29/55,702.08
  6. Step 6: Final answer
    x = 49,456.58

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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.