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Finding the Fourth Proportional to 35,812.07, 53,718.04 and 9,516.81

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Solution

The fourth proportional to 35,812.07, 53,718.04 and 9,516.81 is: 14,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.07 : 53,718.04 = 9,516.81 : x
  2. Step 2: Convert to fraction form
    35,812.07/53,718.04 = 9,516.81/x
  3. Step 3: Cross multiply
    35,812.07x = 53,718.04 × 9,516.81
  4. Step 4: Simplify right side
    35,812.07x = 511,224,264.66
  5. Step 5: Solve for x
    x = 511,224,264.66/35,812.07
  6. Step 6: Final answer
    x = 14,275.20

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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.