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Finding the Fourth Proportional to 84,355.95, 116,407.67 and 48,547.20

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Solution

The fourth proportional to 84,355.95, 116,407.67 and 48,547.20 is: 66,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,355.95 : 116,407.67 = 48,547.20 : x
  2. Step 2: Convert to fraction form
    84,355.95/116,407.67 = 48,547.20/x
  3. Step 3: Cross multiply
    84,355.95x = 116,407.67 × 48,547.20
  4. Step 4: Simplify right side
    84,355.95x = 5,651,266,194.29
  5. Step 5: Solve for x
    x = 5,651,266,194.29/84,355.95
  6. Step 6: Final answer
    x = 66,993.10

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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.