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Finding the Fourth Proportional to 30,457.80, 45,681.10 and 13,813.83

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Solution

The fourth proportional to 30,457.80, 45,681.10 and 13,813.83 is: 20,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.80 : 45,681.10 = 13,813.83 : x
  2. Step 2: Convert to fraction form
    30,457.80/45,681.10 = 13,813.83/x
  3. Step 3: Cross multiply
    30,457.80x = 45,681.10 × 13,813.83
  4. Step 4: Simplify right side
    30,457.80x = 631,030,949.61
  5. Step 5: Solve for x
    x = 631,030,949.61/30,457.80
  6. Step 6: Final answer
    x = 20,718.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.