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Finding the Fourth Proportional to 30,452.96, 42,007.56 and 17,875.28

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Solution

The fourth proportional to 30,452.96, 42,007.56 and 17,875.28 is: 24,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.96 : 42,007.56 = 17,875.28 : x
  2. Step 2: Convert to fraction form
    30,452.96/42,007.56 = 17,875.28/x
  3. Step 3: Cross multiply
    30,452.96x = 42,007.56 × 17,875.28
  4. Step 4: Simplify right side
    30,452.96x = 750,896,897.12
  5. Step 5: Solve for x
    x = 750,896,897.12/30,452.96
  6. Step 6: Final answer
    x = 24,657.60

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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.