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Finding the Fourth Proportional to 30,429.47, 45,643.72 and 11,713.57

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Solution

The fourth proportional to 30,429.47, 45,643.72 and 11,713.57 is: 17,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.47 : 45,643.72 = 11,713.57 : x
  2. Step 2: Convert to fraction form
    30,429.47/45,643.72 = 11,713.57/x
  3. Step 3: Cross multiply
    30,429.47x = 45,643.72 × 11,713.57
  4. Step 4: Simplify right side
    30,429.47x = 534,650,909.28
  5. Step 5: Solve for x
    x = 534,650,909.28/30,429.47
  6. Step 6: Final answer
    x = 17,570.17

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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.