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Finding the Fourth Proportional to 64,048.34, 88,386.80 and 35,754

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Solution

The fourth proportional to 64,048.34, 88,386.80 and 35,754 is: 49,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,048.34 : 88,386.80 = 35,754 : x
  2. Step 2: Convert to fraction form
    64,048.34/88,386.80 = 35,754/x
  3. Step 3: Cross multiply
    64,048.34x = 88,386.80 × 35,754
  4. Step 4: Simplify right side
    64,048.34x = 3,160,181,468.43
  5. Step 5: Solve for x
    x = 3,160,181,468.43/64,048.34
  6. Step 6: Final answer
    x = 49,340.57

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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.