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Finding the Fourth Proportional to 106,782.51, 147,362.94 and 59,038.94

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Solution

The fourth proportional to 106,782.51, 147,362.94 and 59,038.94 is: 81,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.51 : 147,362.94 = 59,038.94 : x
  2. Step 2: Convert to fraction form
    106,782.51/147,362.94 = 59,038.94/x
  3. Step 3: Cross multiply
    106,782.51x = 147,362.94 × 59,038.94
  4. Step 4: Simplify right side
    106,782.51x = 8,700,151,036.07
  5. Step 5: Solve for x
    x = 8,700,151,036.07/106,782.51
  6. Step 6: Final answer
    x = 81,475.43

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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.