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Finding the Fourth Proportional to 52,443.60, 78,681.60 and 19,154.76

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Solution

The fourth proportional to 52,443.60, 78,681.60 and 19,154.76 is: 28,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,443.60 : 78,681.60 = 19,154.76 : x
  2. Step 2: Convert to fraction form
    52,443.60/78,681.60 = 19,154.76/x
  3. Step 3: Cross multiply
    52,443.60x = 78,681.60 × 19,154.76
  4. Step 4: Simplify right side
    52,443.60x = 1,507,127,164.42
  5. Step 5: Solve for x
    x = 1,507,127,164.42/52,443.60
  6. Step 6: Final answer
    x = 28,738.06

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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.