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Finding the Fourth Proportional to 57,309.76, 85,852.80 and 37,528.34

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Solution

The fourth proportional to 57,309.76, 85,852.80 and 37,528.34 is: 56,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.76 : 85,852.80 = 37,528.34 : x
  2. Step 2: Convert to fraction form
    57,309.76/85,852.80 = 37,528.34/x
  3. Step 3: Cross multiply
    57,309.76x = 85,852.80 × 37,528.34
  4. Step 4: Simplify right side
    57,309.76x = 3,221,913,068.35
  5. Step 5: Solve for x
    x = 3,221,913,068.35/57,309.76
  6. Step 6: Final answer
    x = 56,219.28

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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.