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Finding the Fourth Proportional to 105,482.48, 145,564.58 and 57,083.28

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Solution

The fourth proportional to 105,482.48, 145,564.58 and 57,083.28 is: 78,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482.48 : 145,564.58 = 57,083.28 : x
  2. Step 2: Convert to fraction form
    105,482.48/145,564.58 = 57,083.28/x
  3. Step 3: Cross multiply
    105,482.48x = 145,564.58 × 57,083.28
  4. Step 4: Simplify right side
    105,482.48x = 8,309,303,678.22
  5. Step 5: Solve for x
    x = 8,309,303,678.22/105,482.48
  6. Step 6: Final answer
    x = 78,774.25

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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.