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Finding the Fourth Proportional to 98,547.30, 147,788.55 and 36,209.70

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Solution

The fourth proportional to 98,547.30, 147,788.55 and 36,209.70 is: 54,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,547.30 : 147,788.55 = 36,209.70 : x
  2. Step 2: Convert to fraction form
    98,547.30/147,788.55 = 36,209.70/x
  3. Step 3: Cross multiply
    98,547.30x = 147,788.55 × 36,209.70
  4. Step 4: Simplify right side
    98,547.30x = 5,351,379,058.94
  5. Step 5: Solve for x
    x = 5,351,379,058.94/98,547.30
  6. Step 6: Final answer
    x = 54,302.65

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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.