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Finding the Fourth Proportional to 56,800.32, 85,214.88 and 17,355.84

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Solution

The fourth proportional to 56,800.32, 85,214.88 and 17,355.84 is: 26,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,800.32 : 85,214.88 = 17,355.84 : x
  2. Step 2: Convert to fraction form
    56,800.32/85,214.88 = 17,355.84/x
  3. Step 3: Cross multiply
    56,800.32x = 85,214.88 × 17,355.84
  4. Step 4: Simplify right side
    56,800.32x = 1,478,975,822.90
  5. Step 5: Solve for x
    x = 1,478,975,822.90/56,800.32
  6. Step 6: Final answer
    x = 26,038.16

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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.