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Finding the Fourth Proportional to 30,477.16, 42,065.22 and 19,297

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Solution

The fourth proportional to 30,477.16, 42,065.22 and 19,297 is: 26,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.16 : 42,065.22 = 19,297 : x
  2. Step 2: Convert to fraction form
    30,477.16/42,065.22 = 19,297/x
  3. Step 3: Cross multiply
    30,477.16x = 42,065.22 × 19,297
  4. Step 4: Simplify right side
    30,477.16x = 811,732,550.34
  5. Step 5: Solve for x
    x = 811,732,550.34/30,477.16
  6. Step 6: Final answer
    x = 26,634.13

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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.