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Finding the Fourth Proportional to 52,352, 72,245.76 and 28,800

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Solution

The fourth proportional to 52,352, 72,245.76 and 28,800 is: 39,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352 : 72,245.76 = 28,800 : x
  2. Step 2: Convert to fraction form
    52,352/72,245.76 = 28,800/x
  3. Step 3: Cross multiply
    52,352x = 72,245.76 × 28,800
  4. Step 4: Simplify right side
    52,352x = 2,080,677,888.00
  5. Step 5: Solve for x
    x = 2,080,677,888.00/52,352
  6. Step 6: Final answer
    x = 39,744.00

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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.