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Finding the Fourth Proportional to 35,768.50, 53,653.76 and 9,473.26

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Solution

The fourth proportional to 35,768.50, 53,653.76 and 9,473.26 is: 14,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,768.50 : 53,653.76 = 9,473.26 : x
  2. Step 2: Convert to fraction form
    35,768.50/53,653.76 = 9,473.26/x
  3. Step 3: Cross multiply
    35,768.50x = 53,653.76 × 9,473.26
  4. Step 4: Simplify right side
    35,768.50x = 508,276,018.46
  5. Step 5: Solve for x
    x = 508,276,018.46/35,768.50
  6. Step 6: Final answer
    x = 14,210.16

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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.