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Finding the Fourth Proportional to 30,437.68, 45,669.72 and 10,730.32

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Solution

The fourth proportional to 30,437.68, 45,669.72 and 10,730.32 is: 16,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,437.68 : 45,669.72 = 10,730.32 : x
  2. Step 2: Convert to fraction form
    30,437.68/45,669.72 = 10,730.32/x
  3. Step 3: Cross multiply
    30,437.68x = 45,669.72 × 10,730.32
  4. Step 4: Simplify right side
    30,437.68x = 490,050,709.91
  5. Step 5: Solve for x
    x = 490,050,709.91/30,437.68
  6. Step 6: Final answer
    x = 16,100.13

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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.