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Finding the Fourth Proportional to 30,363.97, 45,547.35 and 9,302.50

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Solution

The fourth proportional to 30,363.97, 45,547.35 and 9,302.50 is: 13,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,363.97 : 45,547.35 = 9,302.50 : x
  2. Step 2: Convert to fraction form
    30,363.97/45,547.35 = 9,302.50/x
  3. Step 3: Cross multiply
    30,363.97x = 45,547.35 × 9,302.50
  4. Step 4: Simplify right side
    30,363.97x = 423,704,223.38
  5. Step 5: Solve for x
    x = 423,704,223.38/30,363.97
  6. Step 6: Final answer
    x = 13,954.18

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Why These Related Problems?

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