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Finding the Fourth Proportional to 30,476.64, 45,677.28 and 17,984

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Solution

The fourth proportional to 30,476.64, 45,677.28 and 17,984 is: 26,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.64 : 45,677.28 = 17,984 : x
  2. Step 2: Convert to fraction form
    30,476.64/45,677.28 = 17,984/x
  3. Step 3: Cross multiply
    30,476.64x = 45,677.28 × 17,984
  4. Step 4: Simplify right side
    30,476.64x = 821,460,203.52
  5. Step 5: Solve for x
    x = 821,460,203.52/30,476.64
  6. Step 6: Final answer
    x = 26,953.77

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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.