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Finding the Fourth Proportional to 70,038.36, 105,038.46 and 23,285.16

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Solution

The fourth proportional to 70,038.36, 105,038.46 and 23,285.16 is: 34,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038.36 : 105,038.46 = 23,285.16 : x
  2. Step 2: Convert to fraction form
    70,038.36/105,038.46 = 23,285.16/x
  3. Step 3: Cross multiply
    70,038.36x = 105,038.46 × 23,285.16
  4. Step 4: Simplify right side
    70,038.36x = 2,445,837,347.25
  5. Step 5: Solve for x
    x = 2,445,837,347.25/70,038.36
  6. Step 6: Final answer
    x = 34,921.40

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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.