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Finding the Fourth Proportional to 83,547.86, 115,296.03 and 45,822.11

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Solution

The fourth proportional to 83,547.86, 115,296.03 and 45,822.11 is: 63,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.86 : 115,296.03 = 45,822.11 : x
  2. Step 2: Convert to fraction form
    83,547.86/115,296.03 = 45,822.11/x
  3. Step 3: Cross multiply
    83,547.86x = 115,296.03 × 45,822.11
  4. Step 4: Simplify right side
    83,547.86x = 5,283,106,792.74
  5. Step 5: Solve for x
    x = 5,283,106,792.74/83,547.86
  6. Step 6: Final answer
    x = 63,234.50

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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.