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Finding the Fourth Proportional to 73,774.76, 101,772.70 and 46,538.50

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Solution

The fourth proportional to 73,774.76, 101,772.70 and 46,538.50 is: 64,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,774.76 : 101,772.70 = 46,538.50 : x
  2. Step 2: Convert to fraction form
    73,774.76/101,772.70 = 46,538.50/x
  3. Step 3: Cross multiply
    73,774.76x = 101,772.70 × 46,538.50
  4. Step 4: Simplify right side
    73,774.76x = 4,736,348,798.95
  5. Step 5: Solve for x
    x = 4,736,348,798.95/73,774.76
  6. Step 6: Final answer
    x = 64,200.12

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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.