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Finding the Fourth Proportional to 30,871.59, 46,307.40 and 7,498.02

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Solution

The fourth proportional to 30,871.59, 46,307.40 and 7,498.02 is: 11,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.59 : 46,307.40 = 7,498.02 : x
  2. Step 2: Convert to fraction form
    30,871.59/46,307.40 = 7,498.02/x
  3. Step 3: Cross multiply
    30,871.59x = 46,307.40 × 7,498.02
  4. Step 4: Simplify right side
    30,871.59x = 347,213,811.35
  5. Step 5: Solve for x
    x = 347,213,811.35/30,871.59
  6. Step 6: Final answer
    x = 11,247.03

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