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Finding the Fourth Proportional to 52,607.62, 78,911.64 and 13,164.62

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Solution

The fourth proportional to 52,607.62, 78,911.64 and 13,164.62 is: 19,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,607.62 : 78,911.64 = 13,164.62 : x
  2. Step 2: Convert to fraction form
    52,607.62/78,911.64 = 13,164.62/x
  3. Step 3: Cross multiply
    52,607.62x = 78,911.64 × 13,164.62
  4. Step 4: Simplify right side
    52,607.62x = 1,038,841,754.18
  5. Step 5: Solve for x
    x = 1,038,841,754.18/52,607.62
  6. Step 6: Final answer
    x = 19,746.98

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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.