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Finding the Fourth Proportional to 30,875.80, 46,316.44 and 8,689.36

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Solution

The fourth proportional to 30,875.80, 46,316.44 and 8,689.36 is: 13,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.80 : 46,316.44 = 8,689.36 : x
  2. Step 2: Convert to fraction form
    30,875.80/46,316.44 = 8,689.36/x
  3. Step 3: Cross multiply
    30,875.80x = 46,316.44 × 8,689.36
  4. Step 4: Simplify right side
    30,875.80x = 402,460,221.08
  5. Step 5: Solve for x
    x = 402,460,221.08/30,875.80
  6. Step 6: Final answer
    x = 13,034.81

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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.