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Finding the Fourth Proportional to 59,852.64, 82,558.80 and 42,823.20

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Solution

The fourth proportional to 59,852.64, 82,558.80 and 42,823.20 is: 59,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,852.64 : 82,558.80 = 42,823.20 : x
  2. Step 2: Convert to fraction form
    59,852.64/82,558.80 = 42,823.20/x
  3. Step 3: Cross multiply
    59,852.64x = 82,558.80 × 42,823.20
  4. Step 4: Simplify right side
    59,852.64x = 3,535,432,004.16
  5. Step 5: Solve for x
    x = 3,535,432,004.16/59,852.64
  6. Step 6: Final answer
    x = 59,068.94

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Why These Related Problems?

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