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Finding the Fourth Proportional to 30,476.83, 42,056.05 and 17,045.76

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Solution

The fourth proportional to 30,476.83, 42,056.05 and 17,045.76 is: 23,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.83 : 42,056.05 = 17,045.76 : x
  2. Step 2: Convert to fraction form
    30,476.83/42,056.05 = 17,045.76/x
  3. Step 3: Cross multiply
    30,476.83x = 42,056.05 × 17,045.76
  4. Step 4: Simplify right side
    30,476.83x = 716,877,334.85
  5. Step 5: Solve for x
    x = 716,877,334.85/30,476.83
  6. Step 6: Final answer
    x = 23,522.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.