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Finding the Fourth Proportional to 51,007.68, 70,316.42 and 35,646.54

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Solution

The fourth proportional to 51,007.68, 70,316.42 and 35,646.54 is: 49,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.68 : 70,316.42 = 35,646.54 : x
  2. Step 2: Convert to fraction form
    51,007.68/70,316.42 = 35,646.54/x
  3. Step 3: Cross multiply
    51,007.68x = 70,316.42 × 35,646.54
  4. Step 4: Simplify right side
    51,007.68x = 2,506,536,899.95
  5. Step 5: Solve for x
    x = 2,506,536,899.95/51,007.68
  6. Step 6: Final answer
    x = 49,140.38

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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.