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Finding the Fourth Proportional to 77,055.08, 115,714.38 and 47,646.68

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Solution

The fourth proportional to 77,055.08, 115,714.38 and 47,646.68 is: 71,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,055.08 : 115,714.38 = 47,646.68 : x
  2. Step 2: Convert to fraction form
    77,055.08/115,714.38 = 47,646.68/x
  3. Step 3: Cross multiply
    77,055.08x = 115,714.38 × 47,646.68
  4. Step 4: Simplify right side
    77,055.08x = 5,513,406,035.26
  5. Step 5: Solve for x
    x = 5,513,406,035.26/77,055.08
  6. Step 6: Final answer
    x = 71,551.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.