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Finding the Fourth Proportional to 51,886.80, 77,829.40 and 35,205.36

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Solution

The fourth proportional to 51,886.80, 77,829.40 and 35,205.36 is: 52,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,886.80 : 77,829.40 = 35,205.36 : x
  2. Step 2: Convert to fraction form
    51,886.80/77,829.40 = 35,205.36/x
  3. Step 3: Cross multiply
    51,886.80x = 77,829.40 × 35,205.36
  4. Step 4: Simplify right side
    51,886.80x = 2,740,012,045.58
  5. Step 5: Solve for x
    x = 2,740,012,045.58/51,886.80
  6. Step 6: Final answer
    x = 52,807.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.