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Finding the Fourth Proportional to 46,809.47, 64,598.10 and 25,588.75

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Solution

The fourth proportional to 46,809.47, 64,598.10 and 25,588.75 is: 35,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809.47 : 64,598.10 = 25,588.75 : x
  2. Step 2: Convert to fraction form
    46,809.47/64,598.10 = 25,588.75/x
  3. Step 3: Cross multiply
    46,809.47x = 64,598.10 × 25,588.75
  4. Step 4: Simplify right side
    46,809.47x = 1,652,984,631.38
  5. Step 5: Solve for x
    x = 1,652,984,631.38/46,809.47
  6. Step 6: Final answer
    x = 35,313.04

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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.