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Finding the Fourth Proportional to 30,436.04, 45,633.40 and 10,712

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Solution

The fourth proportional to 30,436.04, 45,633.40 and 10,712 is: 16,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.04 : 45,633.40 = 10,712 : x
  2. Step 2: Convert to fraction form
    30,436.04/45,633.40 = 10,712/x
  3. Step 3: Cross multiply
    30,436.04x = 45,633.40 × 10,712
  4. Step 4: Simplify right side
    30,436.04x = 488,824,980.80
  5. Step 5: Solve for x
    x = 488,824,980.80/30,436.04
  6. Step 6: Final answer
    x = 16,060.73

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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.