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Finding the Fourth Proportional to 46,697.52, 64,442.34 and 25,477.68

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Solution

The fourth proportional to 46,697.52, 64,442.34 and 25,477.68 is: 35,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697.52 : 64,442.34 = 25,477.68 : x
  2. Step 2: Convert to fraction form
    46,697.52/64,442.34 = 25,477.68/x
  3. Step 3: Cross multiply
    46,697.52x = 64,442.34 × 25,477.68
  4. Step 4: Simplify right side
    46,697.52x = 1,641,841,316.97
  5. Step 5: Solve for x
    x = 1,641,841,316.97/46,697.52
  6. Step 6: Final answer
    x = 35,159.07

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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.