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Finding the Fourth Proportional to 30,858.71, 42,585.15 and 17,430.12

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Solution

The fourth proportional to 30,858.71, 42,585.15 and 17,430.12 is: 24,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.71 : 42,585.15 = 17,430.12 : x
  2. Step 2: Convert to fraction form
    30,858.71/42,585.15 = 17,430.12/x
  3. Step 3: Cross multiply
    30,858.71x = 42,585.15 × 17,430.12
  4. Step 4: Simplify right side
    30,858.71x = 742,264,274.72
  5. Step 5: Solve for x
    x = 742,264,274.72/30,858.71
  6. Step 6: Final answer
    x = 24,053.64

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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.