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Finding the Fourth Proportional to 30,484.26, 42,068.16 and 18,547.38

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Solution

The fourth proportional to 30,484.26, 42,068.16 and 18,547.38 is: 25,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.26 : 42,068.16 = 18,547.38 : x
  2. Step 2: Convert to fraction form
    30,484.26/42,068.16 = 18,547.38/x
  3. Step 3: Cross multiply
    30,484.26x = 42,068.16 × 18,547.38
  4. Step 4: Simplify right side
    30,484.26x = 780,254,149.42
  5. Step 5: Solve for x
    x = 780,254,149.42/30,484.26
  6. Step 6: Final answer
    x = 25,595.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.