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Finding the Fourth Proportional to 30,530.40, 42,126.84 and 17,785.68

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Solution

The fourth proportional to 30,530.40, 42,126.84 and 17,785.68 is: 24,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.40 : 42,126.84 = 17,785.68 : x
  2. Step 2: Convert to fraction form
    30,530.40/42,126.84 = 17,785.68/x
  3. Step 3: Cross multiply
    30,530.40x = 42,126.84 × 17,785.68
  4. Step 4: Simplify right side
    30,530.40x = 749,254,495.65
  5. Step 5: Solve for x
    x = 749,254,495.65/30,530.40
  6. Step 6: Final answer
    x = 24,541.26

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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.