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Finding the Fourth Proportional to 35,200.32, 52,802.16 and 8,905.28

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Solution

The fourth proportional to 35,200.32, 52,802.16 and 8,905.28 is: 13,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200.32 : 52,802.16 = 8,905.28 : x
  2. Step 2: Convert to fraction form
    35,200.32/52,802.16 = 8,905.28/x
  3. Step 3: Cross multiply
    35,200.32x = 52,802.16 × 8,905.28
  4. Step 4: Simplify right side
    35,200.32x = 470,218,019.40
  5. Step 5: Solve for x
    x = 470,218,019.40/35,200.32
  6. Step 6: Final answer
    x = 13,358.35

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1.5x scale

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.