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Finding the Fourth Proportional to 52,543.50, 78,815.28 and 15,607.50

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Solution

The fourth proportional to 52,543.50, 78,815.28 and 15,607.50 is: 23,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,543.50 : 78,815.28 = 15,607.50 : x
  2. Step 2: Convert to fraction form
    52,543.50/78,815.28 = 15,607.50/x
  3. Step 3: Cross multiply
    52,543.50x = 78,815.28 × 15,607.50
  4. Step 4: Simplify right side
    52,543.50x = 1,230,109,482.60
  5. Step 5: Solve for x
    x = 1,230,109,482.60/52,543.50
  6. Step 6: Final answer
    x = 23,411.26

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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.