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Finding the Fourth Proportional to 35,038.19, 52,557.01 and 10,078.14

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Solution

The fourth proportional to 35,038.19, 52,557.01 and 10,078.14 is: 15,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,038.19 : 52,557.01 = 10,078.14 : x
  2. Step 2: Convert to fraction form
    35,038.19/52,557.01 = 10,078.14/x
  3. Step 3: Cross multiply
    35,038.19x = 52,557.01 × 10,078.14
  4. Step 4: Simplify right side
    35,038.19x = 529,677,076.65
  5. Step 5: Solve for x
    x = 529,677,076.65/35,038.19
  6. Step 6: Final answer
    x = 15,117.13

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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.