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Finding the Fourth Proportional to 30,547.70, 42,157.48 and 17,123.28

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Solution

The fourth proportional to 30,547.70, 42,157.48 and 17,123.28 is: 23,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.70 : 42,157.48 = 17,123.28 : x
  2. Step 2: Convert to fraction form
    30,547.70/42,157.48 = 17,123.28/x
  3. Step 3: Cross multiply
    30,547.70x = 42,157.48 × 17,123.28
  4. Step 4: Simplify right side
    30,547.70x = 721,874,334.13
  5. Step 5: Solve for x
    x = 721,874,334.13/30,547.70
  6. Step 6: Final answer
    x = 23,631.05

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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.