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Finding the Fourth Proportional to 46,697.10, 64,423.56 and 28,761

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Solution

The fourth proportional to 46,697.10, 64,423.56 and 28,761 is: 39,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697.10 : 64,423.56 = 28,761 : x
  2. Step 2: Convert to fraction form
    46,697.10/64,423.56 = 28,761/x
  3. Step 3: Cross multiply
    46,697.10x = 64,423.56 × 28,761
  4. Step 4: Simplify right side
    46,697.10x = 1,852,886,009.16
  5. Step 5: Solve for x
    x = 1,852,886,009.16/46,697.10
  6. Step 6: Final answer
    x = 39,678.82

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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.