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Finding the Fourth Proportional to 42,430.40, 63,645.60 and 12,852.80

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Solution

The fourth proportional to 42,430.40, 63,645.60 and 12,852.80 is: 19,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430.40 : 63,645.60 = 12,852.80 : x
  2. Step 2: Convert to fraction form
    42,430.40/63,645.60 = 12,852.80/x
  3. Step 3: Cross multiply
    42,430.40x = 63,645.60 × 12,852.80
  4. Step 4: Simplify right side
    42,430.40x = 818,024,167.68
  5. Step 5: Solve for x
    x = 818,024,167.68/42,430.40
  6. Step 6: Final answer
    x = 19,279.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.