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Finding the Fourth Proportional to 55,802.84, 76,975.24 and 37,684.76

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Solution

The fourth proportional to 55,802.84, 76,975.24 and 37,684.76 is: 51,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.84 : 76,975.24 = 37,684.76 : x
  2. Step 2: Convert to fraction form
    55,802.84/76,975.24 = 37,684.76/x
  3. Step 3: Cross multiply
    55,802.84x = 76,975.24 × 37,684.76
  4. Step 4: Simplify right side
    55,802.84x = 2,900,793,445.34
  5. Step 5: Solve for x
    x = 2,900,793,445.34/55,802.84
  6. Step 6: Final answer
    x = 51,982.90

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1.5x scale

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.