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Finding the Fourth Proportional to 64,886.40, 97,230.98 and 48,168

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Solution

The fourth proportional to 64,886.40, 97,230.98 and 48,168 is: 72,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,886.40 : 97,230.98 = 48,168 : x
  2. Step 2: Convert to fraction form
    64,886.40/97,230.98 = 48,168/x
  3. Step 3: Cross multiply
    64,886.40x = 97,230.98 × 48,168
  4. Step 4: Simplify right side
    64,886.40x = 4,683,421,965.06
  5. Step 5: Solve for x
    x = 4,683,421,965.06/64,886.40
  6. Step 6: Final answer
    x = 72,178.79

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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.