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Finding the Fourth Proportional to 55,602, 76,730.76 and 35,730

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Solution

The fourth proportional to 55,602, 76,730.76 and 35,730 is: 49,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,602 : 76,730.76 = 35,730 : x
  2. Step 2: Convert to fraction form
    55,602/76,730.76 = 35,730/x
  3. Step 3: Cross multiply
    55,602x = 76,730.76 × 35,730
  4. Step 4: Simplify right side
    55,602x = 2,741,590,054.80
  5. Step 5: Solve for x
    x = 2,741,590,054.80/55,602
  6. Step 6: Final answer
    x = 49,307.40

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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.