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Finding the Fourth Proportional to 30,772.83, 46,159.26 and 9,715.01

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Solution

The fourth proportional to 30,772.83, 46,159.26 and 9,715.01 is: 14,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.83 : 46,159.26 = 9,715.01 : x
  2. Step 2: Convert to fraction form
    30,772.83/46,159.26 = 9,715.01/x
  3. Step 3: Cross multiply
    30,772.83x = 46,159.26 × 9,715.01
  4. Step 4: Simplify right side
    30,772.83x = 448,437,405.27
  5. Step 5: Solve for x
    x = 448,437,405.27/30,772.83
  6. Step 6: Final answer
    x = 14,572.51

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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.