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Finding the Fourth Proportional to 35,384, 53,075.76 and 9,088.76

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Solution

The fourth proportional to 35,384, 53,075.76 and 9,088.76 is: 13,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384 : 53,075.76 = 9,088.76 : x
  2. Step 2: Convert to fraction form
    35,384/53,075.76 = 9,088.76/x
  3. Step 3: Cross multiply
    35,384x = 53,075.76 × 9,088.76
  4. Step 4: Simplify right side
    35,384x = 482,392,844.46
  5. Step 5: Solve for x
    x = 482,392,844.46/35,384
  6. Step 6: Final answer
    x = 13,633.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.