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Finding the Fourth Proportional to 35,384.19, 53,058 and 10,421.01

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Solution

The fourth proportional to 35,384.19, 53,058 and 10,421.01 is: 15,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384.19 : 53,058 = 10,421.01 : x
  2. Step 2: Convert to fraction form
    35,384.19/53,058 = 10,421.01/x
  3. Step 3: Cross multiply
    35,384.19x = 53,058 × 10,421.01
  4. Step 4: Simplify right side
    35,384.19x = 552,917,948.58
  5. Step 5: Solve for x
    x = 552,917,948.58/35,384.19
  6. Step 6: Final answer
    x = 15,626.13

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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.