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Finding the Fourth Proportional to 59,046, 88,461 and 46,422.96

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Solution

The fourth proportional to 59,046, 88,461 and 46,422.96 is: 69,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,046 : 88,461 = 46,422.96 : x
  2. Step 2: Convert to fraction form
    59,046/88,461 = 46,422.96/x
  3. Step 3: Cross multiply
    59,046x = 88,461 × 46,422.96
  4. Step 4: Simplify right side
    59,046x = 4,106,621,464.56
  5. Step 5: Solve for x
    x = 4,106,621,464.56/59,046
  6. Step 6: Final answer
    x = 69,549.53

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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.