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Finding the Fourth Proportional to 105,047.64, 157,599.54 and 45,888.12

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Solution

The fourth proportional to 105,047.64, 157,599.54 and 45,888.12 is: 68,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.64 : 157,599.54 = 45,888.12 : x
  2. Step 2: Convert to fraction form
    105,047.64/157,599.54 = 45,888.12/x
  3. Step 3: Cross multiply
    105,047.64x = 157,599.54 × 45,888.12
  4. Step 4: Simplify right side
    105,047.64x = 7,231,946,603.46
  5. Step 5: Solve for x
    x = 7,231,946,603.46/105,047.64
  6. Step 6: Final answer
    x = 68,844.45

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1.5x scale

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.