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Finding the Fourth Proportional to 30,570.48, 42,179.25 and 17,646.58

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Solution

The fourth proportional to 30,570.48, 42,179.25 and 17,646.58 is: 24,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.48 : 42,179.25 = 17,646.58 : x
  2. Step 2: Convert to fraction form
    30,570.48/42,179.25 = 17,646.58/x
  3. Step 3: Cross multiply
    30,570.48x = 42,179.25 × 17,646.58
  4. Step 4: Simplify right side
    30,570.48x = 744,319,509.47
  5. Step 5: Solve for x
    x = 744,319,509.47/30,570.48
  6. Step 6: Final answer
    x = 24,347.66

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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.