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Finding the Fourth Proportional to 32,656, 45,065.60 and 17,752.32

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Solution

The fourth proportional to 32,656, 45,065.60 and 17,752.32 is: 24,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656 : 45,065.60 = 17,752.32 : x
  2. Step 2: Convert to fraction form
    32,656/45,065.60 = 17,752.32/x
  3. Step 3: Cross multiply
    32,656x = 45,065.60 × 17,752.32
  4. Step 4: Simplify right side
    32,656x = 800,018,952.19
  5. Step 5: Solve for x
    x = 800,018,952.19/32,656
  6. Step 6: Final answer
    x = 24,498.38

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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.