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Finding the Fourth Proportional to 82,283.68, 113,466.54 and 70,386.40

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Solution

The fourth proportional to 82,283.68, 113,466.54 and 70,386.40 is: 97,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.68 : 113,466.54 = 70,386.40 : x
  2. Step 2: Convert to fraction form
    82,283.68/113,466.54 = 70,386.40/x
  3. Step 3: Cross multiply
    82,283.68x = 113,466.54 × 70,386.40
  4. Step 4: Simplify right side
    82,283.68x = 7,986,501,271.06
  5. Step 5: Solve for x
    x = 7,986,501,271.06/82,283.68
  6. Step 6: Final answer
    x = 97,060.57

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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.