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Finding the Fourth Proportional to 29,807.90, 44,711.85 and 9,031.40

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Solution

The fourth proportional to 29,807.90, 44,711.85 and 9,031.40 is: 13,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,807.90 : 44,711.85 = 9,031.40 : x
  2. Step 2: Convert to fraction form
    29,807.90/44,711.85 = 9,031.40/x
  3. Step 3: Cross multiply
    29,807.90x = 44,711.85 × 9,031.40
  4. Step 4: Simplify right side
    29,807.90x = 403,810,602.09
  5. Step 5: Solve for x
    x = 403,810,602.09/29,807.90
  6. Step 6: Final answer
    x = 13,547.10

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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.