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Finding the Fourth Proportional to 30,875.65, 46,313.34 and 7,502.16

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Solution

The fourth proportional to 30,875.65, 46,313.34 and 7,502.16 is: 11,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.65 : 46,313.34 = 7,502.16 : x
  2. Step 2: Convert to fraction form
    30,875.65/46,313.34 = 7,502.16/x
  3. Step 3: Cross multiply
    30,875.65x = 46,313.34 × 7,502.16
  4. Step 4: Simplify right side
    30,875.65x = 347,450,086.81
  5. Step 5: Solve for x
    x = 347,450,086.81/30,875.65
  6. Step 6: Final answer
    x = 11,253.21

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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.