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Finding the Fourth Proportional to 46,802.88, 64,588.46 and 25,582.50

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Solution

The fourth proportional to 46,802.88, 64,588.46 and 25,582.50 is: 35,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802.88 : 64,588.46 = 25,582.50 : x
  2. Step 2: Convert to fraction form
    46,802.88/64,588.46 = 25,582.50/x
  3. Step 3: Cross multiply
    46,802.88x = 64,588.46 × 25,582.50
  4. Step 4: Simplify right side
    46,802.88x = 1,652,334,150.04
  5. Step 5: Solve for x
    x = 1,652,334,150.04/46,802.88
  6. Step 6: Final answer
    x = 35,304.11

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