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Finding the Fourth Proportional to 97,135.32, 145,664.64 and 47,200.62

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Solution

The fourth proportional to 97,135.32, 145,664.64 and 47,200.62 is: 70,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,135.32 : 145,664.64 = 47,200.62 : x
  2. Step 2: Convert to fraction form
    97,135.32/145,664.64 = 47,200.62/x
  3. Step 3: Cross multiply
    97,135.32x = 145,664.64 × 47,200.62
  4. Step 4: Simplify right side
    97,135.32x = 6,875,461,320.08
  5. Step 5: Solve for x
    x = 6,875,461,320.08/97,135.32
  6. Step 6: Final answer
    x = 70,782.30

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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.