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Finding the Fourth Proportional to 30,584.64, 42,210 and 17,159.52

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Solution

The fourth proportional to 30,584.64, 42,210 and 17,159.52 is: 23,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.64 : 42,210 = 17,159.52 : x
  2. Step 2: Convert to fraction form
    30,584.64/42,210 = 17,159.52/x
  3. Step 3: Cross multiply
    30,584.64x = 42,210 × 17,159.52
  4. Step 4: Simplify right side
    30,584.64x = 724,303,339.20
  5. Step 5: Solve for x
    x = 724,303,339.20/30,584.64
  6. Step 6: Final answer
    x = 23,681.93

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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.