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Finding the Fourth Proportional to 52,323.80, 78,486.88 and 12,881.30

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Solution

The fourth proportional to 52,323.80, 78,486.88 and 12,881.30 is: 19,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,323.80 : 78,486.88 = 12,881.30 : x
  2. Step 2: Convert to fraction form
    52,323.80/78,486.88 = 12,881.30/x
  3. Step 3: Cross multiply
    52,323.80x = 78,486.88 × 12,881.30
  4. Step 4: Simplify right side
    52,323.80x = 1,011,013,047.34
  5. Step 5: Solve for x
    x = 1,011,013,047.34/52,323.80
  6. Step 6: Final answer
    x = 19,322.24

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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.