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Finding the Fourth Proportional to 46,478.76, 64,140.68 and 27,615.88

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Solution

The fourth proportional to 46,478.76, 64,140.68 and 27,615.88 is: 38,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.76 : 64,140.68 = 27,615.88 : x
  2. Step 2: Convert to fraction form
    46,478.76/64,140.68 = 27,615.88/x
  3. Step 3: Cross multiply
    46,478.76x = 64,140.68 × 27,615.88
  4. Step 4: Simplify right side
    46,478.76x = 1,771,301,322.00
  5. Step 5: Solve for x
    x = 1,771,301,322.00/46,478.76
  6. Step 6: Final answer
    x = 38,109.91

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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.