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Finding the Fourth Proportional to 76,547.64, 114,821.52 and 41,708.76

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Solution

The fourth proportional to 76,547.64, 114,821.52 and 41,708.76 is: 62,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.64 : 114,821.52 = 41,708.76 : x
  2. Step 2: Convert to fraction form
    76,547.64/114,821.52 = 41,708.76/x
  3. Step 3: Cross multiply
    76,547.64x = 114,821.52 × 41,708.76
  4. Step 4: Simplify right side
    76,547.64x = 4,789,063,220.52
  5. Step 5: Solve for x
    x = 4,789,063,220.52/76,547.64
  6. Step 6: Final answer
    x = 62,563.17

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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.