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Finding the Fourth Proportional to 51,113, 70,525.32 and 29,888.16

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Solution

The fourth proportional to 51,113, 70,525.32 and 29,888.16 is: 41,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,113 : 70,525.32 = 29,888.16 : x
  2. Step 2: Convert to fraction form
    51,113/70,525.32 = 29,888.16/x
  3. Step 3: Cross multiply
    51,113x = 70,525.32 × 29,888.16
  4. Step 4: Simplify right side
    51,113x = 2,107,872,048.21
  5. Step 5: Solve for x
    x = 2,107,872,048.21/51,113
  6. Step 6: Final answer
    x = 41,239.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.