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Finding the Fourth Proportional to 30,462.65, 42,038.21 and 17,033.93

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Solution

The fourth proportional to 30,462.65, 42,038.21 and 17,033.93 is: 23,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.65 : 42,038.21 = 17,033.93 : x
  2. Step 2: Convert to fraction form
    30,462.65/42,038.21 = 17,033.93/x
  3. Step 3: Cross multiply
    30,462.65x = 42,038.21 × 17,033.93
  4. Step 4: Simplify right side
    30,462.65x = 716,075,758.86
  5. Step 5: Solve for x
    x = 716,075,758.86/30,462.65
  6. Step 6: Final answer
    x = 23,506.68

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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.