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Finding the Fourth Proportional to 52,506.96, 78,748.92 and 15,056.88

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Solution

The fourth proportional to 52,506.96, 78,748.92 and 15,056.88 is: 22,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.96 : 78,748.92 = 15,056.88 : x
  2. Step 2: Convert to fraction form
    52,506.96/78,748.92 = 15,056.88/x
  3. Step 3: Cross multiply
    52,506.96x = 78,748.92 × 15,056.88
  4. Step 4: Simplify right side
    52,506.96x = 1,185,713,038.57
  5. Step 5: Solve for x
    x = 1,185,713,038.57/52,506.96
  6. Step 6: Final answer
    x = 22,582.02

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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.