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Finding the Fourth Proportional to 59,454, 82,046.52 and 34,303.50

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Solution

The fourth proportional to 59,454, 82,046.52 and 34,303.50 is: 47,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,454 : 82,046.52 = 34,303.50 : x
  2. Step 2: Convert to fraction form
    59,454/82,046.52 = 34,303.50/x
  3. Step 3: Cross multiply
    59,454x = 82,046.52 × 34,303.50
  4. Step 4: Simplify right side
    59,454x = 2,814,482,798.82
  5. Step 5: Solve for x
    x = 2,814,482,798.82/59,454
  6. Step 6: Final answer
    x = 47,338.83

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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.