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Finding the Fourth Proportional to 52,348.80, 72,260.10 and 31,128

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Solution

The fourth proportional to 52,348.80, 72,260.10 and 31,128 is: 42,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348.80 : 72,260.10 = 31,128 : x
  2. Step 2: Convert to fraction form
    52,348.80/72,260.10 = 31,128/x
  3. Step 3: Cross multiply
    52,348.80x = 72,260.10 × 31,128
  4. Step 4: Simplify right side
    52,348.80x = 2,249,312,392.80
  5. Step 5: Solve for x
    x = 2,249,312,392.80/52,348.80
  6. Step 6: Final answer
    x = 42,967.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.