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Finding the Fourth Proportional to 35,290.24, 52,895.04 and 14,488

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Solution

The fourth proportional to 35,290.24, 52,895.04 and 14,488 is: 21,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,290.24 : 52,895.04 = 14,488 : x
  2. Step 2: Convert to fraction form
    35,290.24/52,895.04 = 14,488/x
  3. Step 3: Cross multiply
    35,290.24x = 52,895.04 × 14,488
  4. Step 4: Simplify right side
    35,290.24x = 766,343,339.52
  5. Step 5: Solve for x
    x = 766,343,339.52/35,290.24
  6. Step 6: Final answer
    x = 21,715.45

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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.