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Finding the Fourth Proportional to 35,730, 49,307.40 and 20,828.88

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Solution

The fourth proportional to 35,730, 49,307.40 and 20,828.88 is: 28,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730 : 49,307.40 = 20,828.88 : x
  2. Step 2: Convert to fraction form
    35,730/49,307.40 = 20,828.88/x
  3. Step 3: Cross multiply
    35,730x = 49,307.40 × 20,828.88
  4. Step 4: Simplify right side
    35,730x = 1,027,017,917.71
  5. Step 5: Solve for x
    x = 1,027,017,917.71/35,730
  6. Step 6: Final answer
    x = 28,743.85

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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.