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Finding the Fourth Proportional to 76,530.52, 105,595.90 and 46,309.96

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Solution

The fourth proportional to 76,530.52, 105,595.90 and 46,309.96 is: 63,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.52 : 105,595.90 = 46,309.96 : x
  2. Step 2: Convert to fraction form
    76,530.52/105,595.90 = 46,309.96/x
  3. Step 3: Cross multiply
    76,530.52x = 105,595.90 × 46,309.96
  4. Step 4: Simplify right side
    76,530.52x = 4,890,141,905.16
  5. Step 5: Solve for x
    x = 4,890,141,905.16/76,530.52
  6. Step 6: Final answer
    x = 63,897.93

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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.