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Finding the Fourth Proportional to 30,805.30, 46,207.95 and 13,031.35

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Solution

The fourth proportional to 30,805.30, 46,207.95 and 13,031.35 is: 19,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.30 : 46,207.95 = 13,031.35 : x
  2. Step 2: Convert to fraction form
    30,805.30/46,207.95 = 13,031.35/x
  3. Step 3: Cross multiply
    30,805.30x = 46,207.95 × 13,031.35
  4. Step 4: Simplify right side
    30,805.30x = 602,151,878.15
  5. Step 5: Solve for x
    x = 602,151,878.15/30,805.30
  6. Step 6: Final answer
    x = 19,547.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.