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Finding the Fourth Proportional to 42,778, 59,032.56 and 23,915.26

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Solution

The fourth proportional to 42,778, 59,032.56 and 23,915.26 is: 33,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778 : 59,032.56 = 23,915.26 : x
  2. Step 2: Convert to fraction form
    42,778/59,032.56 = 23,915.26/x
  3. Step 3: Cross multiply
    42,778x = 59,032.56 × 23,915.26
  4. Step 4: Simplify right side
    42,778x = 1,411,779,020.87
  5. Step 5: Solve for x
    x = 1,411,779,020.87/42,778
  6. Step 6: Final answer
    x = 33,002.46

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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.