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Finding the Fourth Proportional to 35,574, 53,378.34 and 23,864.16

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Solution

The fourth proportional to 35,574, 53,378.34 and 23,864.16 is: 35,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574 : 53,378.34 = 23,864.16 : x
  2. Step 2: Convert to fraction form
    35,574/53,378.34 = 23,864.16/x
  3. Step 3: Cross multiply
    35,574x = 53,378.34 × 23,864.16
  4. Step 4: Simplify right side
    35,574x = 1,273,829,246.29
  5. Step 5: Solve for x
    x = 1,273,829,246.29/35,574
  6. Step 6: Final answer
    x = 35,807.87

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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.