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Finding the Fourth Proportional to 30,871.04, 46,285.86 and 14,208.50

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Solution

The fourth proportional to 30,871.04, 46,285.86 and 14,208.50 is: 21,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.04 : 46,285.86 = 14,208.50 : x
  2. Step 2: Convert to fraction form
    30,871.04/46,285.86 = 14,208.50/x
  3. Step 3: Cross multiply
    30,871.04x = 46,285.86 × 14,208.50
  4. Step 4: Simplify right side
    30,871.04x = 657,652,641.81
  5. Step 5: Solve for x
    x = 657,652,641.81/30,871.04
  6. Step 6: Final answer
    x = 21,303.22

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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.