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Finding the Fourth Proportional to 52,345.85, 78,803.54 and 47,695.78

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Solution

The fourth proportional to 52,345.85, 78,803.54 and 47,695.78 is: 71,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,345.85 : 78,803.54 = 47,695.78 : x
  2. Step 2: Convert to fraction form
    52,345.85/78,803.54 = 47,695.78/x
  3. Step 3: Cross multiply
    52,345.85x = 78,803.54 × 47,695.78
  4. Step 4: Simplify right side
    52,345.85x = 3,758,596,307.06
  5. Step 5: Solve for x
    x = 3,758,596,307.06/52,345.85
  6. Step 6: Final answer
    x = 71,803.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.