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Finding the Fourth Proportional to 82,598.77, 113,982.64 and 46,788.06

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Solution

The fourth proportional to 82,598.77, 113,982.64 and 46,788.06 is: 64,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598.77 : 113,982.64 = 46,788.06 : x
  2. Step 2: Convert to fraction form
    82,598.77/113,982.64 = 46,788.06/x
  3. Step 3: Cross multiply
    82,598.77x = 113,982.64 × 46,788.06
  4. Step 4: Simplify right side
    82,598.77x = 5,333,026,482.31
  5. Step 5: Solve for x
    x = 5,333,026,482.31/82,598.77
  6. Step 6: Final answer
    x = 64,565.45

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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.