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Finding the Fourth Proportional to 30,971.14, 42,718.40 and 19,041.04

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Solution

The fourth proportional to 30,971.14, 42,718.40 and 19,041.04 is: 26,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.14 : 42,718.40 = 19,041.04 : x
  2. Step 2: Convert to fraction form
    30,971.14/42,718.40 = 19,041.04/x
  3. Step 3: Cross multiply
    30,971.14x = 42,718.40 × 19,041.04
  4. Step 4: Simplify right side
    30,971.14x = 813,402,763.14
  5. Step 5: Solve for x
    x = 813,402,763.14/30,971.14
  6. Step 6: Final answer
    x = 26,263.25

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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.