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Finding the Fourth Proportional to 30,750.84, 42,416.65 and 19,400.51

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Solution

The fourth proportional to 30,750.84, 42,416.65 and 19,400.51 is: 26,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.84 : 42,416.65 = 19,400.51 : x
  2. Step 2: Convert to fraction form
    30,750.84/42,416.65 = 19,400.51/x
  3. Step 3: Cross multiply
    30,750.84x = 42,416.65 × 19,400.51
  4. Step 4: Simplify right side
    30,750.84x = 822,904,642.49
  5. Step 5: Solve for x
    x = 822,904,642.49/30,750.84
  6. Step 6: Final answer
    x = 26,760.40

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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.